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Finding the Third Proportional to 102,364.59 and 221,496.19

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Solution

The third proportional to 102,364.59 and 221,496.19 is: 479,272.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364.59 : 221,496.19 = 221,496.19 : x
  2. Step 2: Convert to fraction form
    102,364.59/221,496.19 = 221,496.19/x
  3. Step 3: Cross multiply
    102,364.59x = 221,496.19 × 221,496.19
  4. Step 4: Simplify right side
    102,364.59x = 49,060,561,077.04
  5. Step 5: Solve for x
    x = 49,060,561,077.04/102,364.59
  6. Step 6: Final answer
    x = 479,272.76

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Why These Related Problems?

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