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Finding the Third Proportional to 89,033,182.50 and 196,179,902

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Solution

The third proportional to 89,033,182.50 and 196,179,902 is: 432,272,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,033,182.50 : 196,179,902 = 196,179,902 : x
  2. Step 2: Convert to fraction form
    89,033,182.50/196,179,902 = 196,179,902/x
  3. Step 3: Cross multiply
    89,033,182.50x = 196,179,902 × 196,179,902
  4. Step 4: Simplify right side
    89,033,182.50x = 38,486,553,948,729,600
  5. Step 5: Solve for x
    x = 38,486,553,948,729,600/89,033,182.50
  6. Step 6: Final answer
    x = 432,272,023.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.