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Finding the Third Proportional to 86,137,624 and 132,399,480

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Solution

The third proportional to 86,137,624 and 132,399,480 is: 203,507,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,137,624 : 132,399,480 = 132,399,480 : x
  2. Step 2: Convert to fraction form
    86,137,624/132,399,480 = 132,399,480/x
  3. Step 3: Cross multiply
    86,137,624x = 132,399,480 × 132,399,480
  4. Step 4: Simplify right side
    86,137,624x = 17,529,622,304,270,400
  5. Step 5: Solve for x
    x = 17,529,622,304,270,400/86,137,624
  6. Step 6: Final answer
    x = 203,507,149.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.