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Finding the Third Proportional to 99,569.25 and 215,039.81

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Solution

The third proportional to 99,569.25 and 215,039.81 is: 464,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,569.25 : 215,039.81 = 215,039.81 : x
  2. Step 2: Convert to fraction form
    99,569.25/215,039.81 = 215,039.81/x
  3. Step 3: Cross multiply
    99,569.25x = 215,039.81 × 215,039.81
  4. Step 4: Simplify right side
    99,569.25x = 46,242,120,960.04
  5. Step 5: Solve for x
    x = 46,242,120,960.04/99,569.25
  6. Step 6: Final answer
    x = 464,421.71

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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.