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Finding the Third Proportional to 89,152,728.75 and 194,132,691

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Solution

The third proportional to 89,152,728.75 and 194,132,691 is: 422,729,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,152,728.75 : 194,132,691 = 194,132,691 : x
  2. Step 2: Convert to fraction form
    89,152,728.75/194,132,691 = 194,132,691/x
  3. Step 3: Cross multiply
    89,152,728.75x = 194,132,691 × 194,132,691
  4. Step 4: Simplify right side
    89,152,728.75x = 37,687,501,714,901,480
  5. Step 5: Solve for x
    x = 37,687,501,714,901,480/89,152,728.75
  6. Step 6: Final answer
    x = 422,729,648.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.