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Finding the Third Proportional to 138,260,653.50 and 296,242,276.50

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Solution

The third proportional to 138,260,653.50 and 296,242,276.50 is: 634,739,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,260,653.50 : 296,242,276.50 = 296,242,276.50 : x
  2. Step 2: Convert to fraction form
    138,260,653.50/296,242,276.50 = 296,242,276.50/x
  3. Step 3: Cross multiply
    138,260,653.50x = 296,242,276.50 × 296,242,276.50
  4. Step 4: Simplify right side
    138,260,653.50x = 87,759,486,385,902,448
  5. Step 5: Solve for x
    x = 87,759,486,385,902,448/138,260,653.50
  6. Step 6: Final answer
    x = 634,739,415.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.