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Finding the Third Proportional to 75,514,182.61 and 116,504,641.41

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Solution

The third proportional to 75,514,182.61 and 116,504,641.41 is: 179,745,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,514,182.61 : 116,504,641.41 = 116,504,641.41 : x
  2. Step 2: Convert to fraction form
    75,514,182.61/116,504,641.41 = 116,504,641.41/x
  3. Step 3: Cross multiply
    75,514,182.61x = 116,504,641.41 × 116,504,641.41
  4. Step 4: Simplify right side
    75,514,182.61x = 13,573,331,469,198,902
  5. Step 5: Solve for x
    x = 13,573,331,469,198,902/75,514,182.61
  6. Step 6: Final answer
    x = 179,745,459.73

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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.