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Finding the Third Proportional to 114,849,024.75 and 176,531,239.13

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Solution

The third proportional to 114,849,024.75 and 176,531,239.13 is: 271,341,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,024.75 : 176,531,239.13 = 176,531,239.13 : x
  2. Step 2: Convert to fraction form
    114,849,024.75/176,531,239.13 = 176,531,239.13/x
  3. Step 3: Cross multiply
    114,849,024.75x = 176,531,239.13 × 176,531,239.13
  4. Step 4: Simplify right side
    114,849,024.75x = 31,163,278,387,007,932
  5. Step 5: Solve for x
    x = 31,163,278,387,007,932/114,849,024.75
  6. Step 6: Final answer
    x = 271,341,253.92

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