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Finding the Third Proportional to 102,873,515 and 156,722,033

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Solution

The third proportional to 102,873,515 and 156,722,033 is: 238,757,231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,873,515 : 156,722,033 = 156,722,033 : x
  2. Step 2: Convert to fraction form
    102,873,515/156,722,033 = 156,722,033/x
  3. Step 3: Cross multiply
    102,873,515x = 156,722,033 × 156,722,033
  4. Step 4: Simplify right side
    102,873,515x = 24,561,795,627,653,088
  5. Step 5: Solve for x
    x = 24,561,795,627,653,088/102,873,515
  6. Step 6: Final answer
    x = 238,757,231.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.