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Finding the Third Proportional to 89,884,196 and 135,770,898

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Solution

The third proportional to 89,884,196 and 135,770,898 is: 205,083,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,884,196 : 135,770,898 = 135,770,898 : x
  2. Step 2: Convert to fraction form
    89,884,196/135,770,898 = 135,770,898/x
  3. Step 3: Cross multiply
    89,884,196x = 135,770,898 × 135,770,898
  4. Step 4: Simplify right side
    89,884,196x = 18,433,736,743,726,404
  5. Step 5: Solve for x
    x = 18,433,736,743,726,404/89,884,196
  6. Step 6: Final answer
    x = 205,083,179.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.