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Finding the Third Proportional to 174,747,859.13 and 271,329,366.38

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Solution

The third proportional to 174,747,859.13 and 271,329,366.38 is: 421,290,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,747,859.13 : 271,329,366.38 = 271,329,366.38 : x
  2. Step 2: Convert to fraction form
    174,747,859.13/271,329,366.38 = 271,329,366.38/x
  3. Step 3: Cross multiply
    174,747,859.13x = 271,329,366.38 × 271,329,366.38
  4. Step 4: Simplify right side
    174,747,859.13x = 73,619,625,057,458,976
  5. Step 5: Solve for x
    x = 73,619,625,057,458,976/174,747,859.13
  6. Step 6: Final answer
    x = 421,290,569.32

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.