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Finding the Third Proportional to 96,532,416 and 135,029,952

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Solution

The third proportional to 96,532,416 and 135,029,952 is: 188,880,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,532,416 : 135,029,952 = 135,029,952 : x
  2. Step 2: Convert to fraction form
    96,532,416/135,029,952 = 135,029,952/x
  3. Step 3: Cross multiply
    96,532,416x = 135,029,952 × 135,029,952
  4. Step 4: Simplify right side
    96,532,416x = 18,233,087,937,122,304
  5. Step 5: Solve for x
    x = 18,233,087,937,122,304/96,532,416
  6. Step 6: Final answer
    x = 188,880,468.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.