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Finding the Third Proportional to 102,304.75 and 222,318.13

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Solution

The third proportional to 102,304.75 and 222,318.13 is: 483,118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,304.75 : 222,318.13 = 222,318.13 : x
  2. Step 2: Convert to fraction form
    102,304.75/222,318.13 = 222,318.13/x
  3. Step 3: Cross multiply
    102,304.75x = 222,318.13 × 222,318.13
  4. Step 4: Simplify right side
    102,304.75x = 49,425,348,703.52
  5. Step 5: Solve for x
    x = 49,425,348,703.52/102,304.75
  6. Step 6: Final answer
    x = 483,118.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.