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Finding the Third Proportional to 102,529.13 and 216,195.75

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Solution

The third proportional to 102,529.13 and 216,195.75 is: 455,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,529.13 : 216,195.75 = 216,195.75 : x
  2. Step 2: Convert to fraction form
    102,529.13/216,195.75 = 216,195.75/x
  3. Step 3: Cross multiply
    102,529.13x = 216,195.75 × 216,195.75
  4. Step 4: Simplify right side
    102,529.13x = 46,740,602,318.06
  5. Step 5: Solve for x
    x = 46,740,602,318.06/102,529.13
  6. Step 6: Final answer
    x = 455,876.34

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.