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Finding the Third Proportional to 99,824.06 and 216,246.38

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Solution

The third proportional to 99,824.06 and 216,246.38 is: 468,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,824.06 : 216,246.38 = 216,246.38 : x
  2. Step 2: Convert to fraction form
    99,824.06/216,246.38 = 216,246.38/x
  3. Step 3: Cross multiply
    99,824.06x = 216,246.38 × 216,246.38
  4. Step 4: Simplify right side
    99,824.06x = 46,762,494,700.64
  5. Step 5: Solve for x
    x = 46,762,494,700.64/99,824.06
  6. Step 6: Final answer
    x = 468,449.12

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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.