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Finding the Third Proportional to 102,873,477 and 156,721,966

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Solution

The third proportional to 102,873,477 and 156,721,966 is: 238,757,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,873,477 : 156,721,966 = 156,721,966 : x
  2. Step 2: Convert to fraction form
    102,873,477/156,721,966 = 156,721,966/x
  3. Step 3: Cross multiply
    102,873,477x = 156,721,966 × 156,721,966
  4. Step 4: Simplify right side
    102,873,477x = 24,561,774,626,905,156
  5. Step 5: Solve for x
    x = 24,561,774,626,905,156/102,873,477
  6. Step 6: Final answer
    x = 238,757,115.47

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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.