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Finding the Third Proportional to 89,112,078.75 and 141,794,839.13

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Solution

The third proportional to 89,112,078.75 and 141,794,839.13 is: 225,623,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,112,078.75 : 141,794,839.13 = 141,794,839.13 : x
  2. Step 2: Convert to fraction form
    89,112,078.75/141,794,839.13 = 141,794,839.13/x
  3. Step 3: Cross multiply
    89,112,078.75x = 141,794,839.13 × 141,794,839.13
  4. Step 4: Simplify right side
    89,112,078.75x = 20,105,776,402,484,632
  5. Step 5: Solve for x
    x = 20,105,776,402,484,632/89,112,078.75
  6. Step 6: Final answer
    x = 225,623,469.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.