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Finding the Third Proportional to 258,686,181,705.75 and 566,138,618,380.50

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Solution

The third proportional to 258,686,181,705.75 and 566,138,618,380.50 is: 1,239,002,922,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,686,181,705.75 : 566,138,618,380.50 = 566,138,618,380.50 : x
  2. Step 2: Convert to fraction form
    258,686,181,705.75/566,138,618,380.50 = 566,138,618,380.50/x
  3. Step 3: Cross multiply
    258,686,181,705.75x = 566,138,618,380.50 × 566,138,618,380.50
  4. Step 4: Simplify right side
    258,686,181,705.75x = 320,512,935,221,781,424,242,688
  5. Step 5: Solve for x
    x = 320,512,935,221,781,424,242,688/258,686,181,705.75
  6. Step 6: Final answer
    x = 1,239,002,922,801.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.