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Finding the Third Proportional to 68,091,140 and 108,399,327

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Solution

The third proportional to 68,091,140 and 108,399,327 is: 172,568,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,091,140 : 108,399,327 = 108,399,327 : x
  2. Step 2: Convert to fraction form
    68,091,140/108,399,327 = 108,399,327/x
  3. Step 3: Cross multiply
    68,091,140x = 108,399,327 × 108,399,327
  4. Step 4: Simplify right side
    68,091,140x = 11,750,414,094,052,928
  5. Step 5: Solve for x
    x = 11,750,414,094,052,928/68,091,140
  6. Step 6: Final answer
    x = 172,568,914.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.