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Finding the Third Proportional to 89,489,920.50 and 141,481,505.25

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Solution

The third proportional to 89,489,920.50 and 141,481,505.25 is: 223,679,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,489,920.50 : 141,481,505.25 = 141,481,505.25 : x
  2. Step 2: Convert to fraction form
    89,489,920.50/141,481,505.25 = 141,481,505.25/x
  3. Step 3: Cross multiply
    89,489,920.50x = 141,481,505.25 × 141,481,505.25
  4. Step 4: Simplify right side
    89,489,920.50x = 20,017,016,327,805,776
  5. Step 5: Solve for x
    x = 20,017,016,327,805,776/89,489,920.50
  6. Step 6: Final answer
    x = 223,679,004.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.