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Finding the Third Proportional to 89,181,096 and 195,899,748

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Solution

The third proportional to 89,181,096 and 195,899,748 is: 430,323,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,181,096 : 195,899,748 = 195,899,748 : x
  2. Step 2: Convert to fraction form
    89,181,096/195,899,748 = 195,899,748/x
  3. Step 3: Cross multiply
    89,181,096x = 195,899,748 × 195,899,748
  4. Step 4: Simplify right side
    89,181,096x = 38,376,711,266,463,504
  5. Step 5: Solve for x
    x = 38,376,711,266,463,504/89,181,096
  6. Step 6: Final answer
    x = 430,323,386.77

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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.