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Finding the Third Proportional to 89,884,194 and 135,770,895

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Solution

The third proportional to 89,884,194 and 135,770,895 is: 205,083,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,884,194 : 135,770,895 = 135,770,895 : x
  2. Step 2: Convert to fraction form
    89,884,194/135,770,895 = 135,770,895/x
  3. Step 3: Cross multiply
    89,884,194x = 135,770,895 × 135,770,895
  4. Step 4: Simplify right side
    89,884,194x = 18,433,735,929,101,024
  5. Step 5: Solve for x
    x = 18,433,735,929,101,024/89,884,194
  6. Step 6: Final answer
    x = 205,083,175.46

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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.