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Finding the Third Proportional to 103,412.64 and 224,586.11

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Solution

The third proportional to 103,412.64 and 224,586.11 is: 487,744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,412.64 : 224,586.11 = 224,586.11 : x
  2. Step 2: Convert to fraction form
    103,412.64/224,586.11 = 224,586.11/x
  3. Step 3: Cross multiply
    103,412.64x = 224,586.11 × 224,586.11
  4. Step 4: Simplify right side
    103,412.64x = 50,438,918,769.62
  5. Step 5: Solve for x
    x = 50,438,918,769.62/103,412.64
  6. Step 6: Final answer
    x = 487,744.25

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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.