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Finding the Third Proportional to 113,711,942 and 174,675,451

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Solution

The third proportional to 113,711,942 and 174,675,451 is: 268,322,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,711,942 : 174,675,451 = 174,675,451 : x
  2. Step 2: Convert to fraction form
    113,711,942/174,675,451 = 174,675,451/x
  3. Step 3: Cross multiply
    113,711,942x = 174,675,451 × 174,675,451
  4. Step 4: Simplify right side
    113,711,942x = 30,511,513,182,053,400
  5. Step 5: Solve for x
    x = 30,511,513,182,053,400/113,711,942
  6. Step 6: Final answer
    x = 268,322,857.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.