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Finding the Third Proportional to 188,130,993 and 405,092,658

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Solution

The third proportional to 188,130,993 and 405,092,658 is: 872,264,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,130,993 : 405,092,658 = 405,092,658 : x
  2. Step 2: Convert to fraction form
    188,130,993/405,092,658 = 405,092,658/x
  3. Step 3: Cross multiply
    188,130,993x = 405,092,658 × 405,092,658
  4. Step 4: Simplify right side
    188,130,993x = 164,100,061,565,504,960
  5. Step 5: Solve for x
    x = 164,100,061,565,504,960/188,130,993
  6. Step 6: Final answer
    x = 872,264,898.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.