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Finding the Third Proportional to 102,247.31 and 218,710.13

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Solution

The third proportional to 102,247.31 and 218,710.13 is: 467,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,247.31 : 218,710.13 = 218,710.13 : x
  2. Step 2: Convert to fraction form
    102,247.31/218,710.13 = 218,710.13/x
  3. Step 3: Cross multiply
    102,247.31x = 218,710.13 × 218,710.13
  4. Step 4: Simplify right side
    102,247.31x = 47,834,118,777.52
  5. Step 5: Solve for x
    x = 47,834,118,777.52/102,247.31
  6. Step 6: Final answer
    x = 467,827.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.