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Finding the Third Proportional to 103,663.13 and 217,771.88

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Solution

The third proportional to 103,663.13 and 217,771.88 is: 457,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663.13 : 217,771.88 = 217,771.88 : x
  2. Step 2: Convert to fraction form
    103,663.13/217,771.88 = 217,771.88/x
  3. Step 3: Cross multiply
    103,663.13x = 217,771.88 × 217,771.88
  4. Step 4: Simplify right side
    103,663.13x = 47,424,589,541.02
  5. Step 5: Solve for x
    x = 47,424,589,541.02/103,663.13
  6. Step 6: Final answer
    x = 457,487.55

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.