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Finding the Third Proportional to 103,047.19 and 217,164.38

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Solution

The third proportional to 103,047.19 and 217,164.38 is: 457,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,047.19 : 217,164.38 = 217,164.38 : x
  2. Step 2: Convert to fraction form
    103,047.19/217,164.38 = 217,164.38/x
  3. Step 3: Cross multiply
    103,047.19x = 217,164.38 × 217,164.38
  4. Step 4: Simplify right side
    103,047.19x = 47,160,365,769.14
  5. Step 5: Solve for x
    x = 47,160,365,769.14/103,047.19
  6. Step 6: Final answer
    x = 457,657.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.