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Finding the Third Proportional to 99,964.13 and 215,920.69

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Solution

The third proportional to 99,964.13 and 215,920.69 is: 466,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,964.13 : 215,920.69 = 215,920.69 : x
  2. Step 2: Convert to fraction form
    99,964.13/215,920.69 = 215,920.69/x
  3. Step 3: Cross multiply
    99,964.13x = 215,920.69 × 215,920.69
  4. Step 4: Simplify right side
    99,964.13x = 46,621,743,290.47
  5. Step 5: Solve for x
    x = 46,621,743,290.47/99,964.13
  6. Step 6: Final answer
    x = 466,384.75

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