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Finding the Third Proportional to 145,516,317 and 218,221,042

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Solution

The third proportional to 145,516,317 and 218,221,042 is: 327,251,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,516,317 : 218,221,042 = 218,221,042 : x
  2. Step 2: Convert to fraction form
    145,516,317/218,221,042 = 218,221,042/x
  3. Step 3: Cross multiply
    145,516,317x = 218,221,042 × 218,221,042
  4. Step 4: Simplify right side
    145,516,317x = 47,620,423,171,565,760
  5. Step 5: Solve for x
    x = 47,620,423,171,565,760/145,516,317
  6. Step 6: Final answer
    x = 327,251,432.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.