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Finding the Third Proportional to 99,748.13 and 216,451.69

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Solution

The third proportional to 99,748.13 and 216,451.69 is: 469,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,748.13 : 216,451.69 = 216,451.69 : x
  2. Step 2: Convert to fraction form
    99,748.13/216,451.69 = 216,451.69/x
  3. Step 3: Cross multiply
    99,748.13x = 216,451.69 × 216,451.69
  4. Step 4: Simplify right side
    99,748.13x = 46,851,333,021.60
  5. Step 5: Solve for x
    x = 46,851,333,021.60/99,748.13
  6. Step 6: Final answer
    x = 469,696.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.