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Finding the Third Proportional to 102,007.69 and 220,438.13

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Solution

The third proportional to 102,007.69 and 220,438.13 is: 476,365.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,007.69 : 220,438.13 = 220,438.13 : x
  2. Step 2: Convert to fraction form
    102,007.69/220,438.13 = 220,438.13/x
  3. Step 3: Cross multiply
    102,007.69x = 220,438.13 × 220,438.13
  4. Step 4: Simplify right side
    102,007.69x = 48,592,966,953.52
  5. Step 5: Solve for x
    x = 48,592,966,953.52/102,007.69
  6. Step 6: Final answer
    x = 476,365.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.