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Finding the Third Proportional to 101,217.66 and 216,445.78

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Solution

The third proportional to 101,217.66 and 216,445.78 is: 462,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,217.66 : 216,445.78 = 216,445.78 : x
  2. Step 2: Convert to fraction form
    101,217.66/216,445.78 = 216,445.78/x
  3. Step 3: Cross multiply
    101,217.66x = 216,445.78 × 216,445.78
  4. Step 4: Simplify right side
    101,217.66x = 46,848,776,220.92
  5. Step 5: Solve for x
    x = 46,848,776,220.92/101,217.66
  6. Step 6: Final answer
    x = 462,851.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.