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Finding the Third Proportional to 65,435,600 and 141,776,542

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Solution

The third proportional to 65,435,600 and 141,776,542 is: 307,181,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435,600 : 141,776,542 = 141,776,542 : x
  2. Step 2: Convert to fraction form
    65,435,600/141,776,542 = 141,776,542/x
  3. Step 3: Cross multiply
    65,435,600x = 141,776,542 × 141,776,542
  4. Step 4: Simplify right side
    65,435,600x = 20,100,587,861,477,764
  5. Step 5: Solve for x
    x = 20,100,587,861,477,764/65,435,600
  6. Step 6: Final answer
    x = 307,181,226.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.