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Finding the Third Proportional to 102,202.38 and 220,027.01

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Solution

The third proportional to 102,202.38 and 220,027.01 is: 473,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,202.38 : 220,027.01 = 220,027.01 : x
  2. Step 2: Convert to fraction form
    102,202.38/220,027.01 = 220,027.01/x
  3. Step 3: Cross multiply
    102,202.38x = 220,027.01 × 220,027.01
  4. Step 4: Simplify right side
    102,202.38x = 48,411,884,166.92
  5. Step 5: Solve for x
    x = 48,411,884,166.92/102,202.38
  6. Step 6: Final answer
    x = 473,686.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.