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Finding the Third Proportional to 144,564,471 and 220,234,642.50

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Solution

The third proportional to 144,564,471 and 220,234,642.50 is: 335,513,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,564,471 : 220,234,642.50 = 220,234,642.50 : x
  2. Step 2: Convert to fraction form
    144,564,471/220,234,642.50 = 220,234,642.50/x
  3. Step 3: Cross multiply
    144,564,471x = 220,234,642.50 × 220,234,642.50
  4. Step 4: Simplify right side
    144,564,471x = 48,503,297,757,102,808
  5. Step 5: Solve for x
    x = 48,503,297,757,102,808/144,564,471
  6. Step 6: Final answer
    x = 335,513,265.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.