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Finding the Third Proportional to 47,681.16 and 103,555.97

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Solution

The third proportional to 47,681.16 and 103,555.97 is: 224,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,681.16 : 103,555.97 = 103,555.97 : x
  2. Step 2: Convert to fraction form
    47,681.16/103,555.97 = 103,555.97/x
  3. Step 3: Cross multiply
    47,681.16x = 103,555.97 × 103,555.97
  4. Step 4: Simplify right side
    47,681.16x = 10,723,838,663.75
  5. Step 5: Solve for x
    x = 10,723,838,663.75/47,681.16
  6. Step 6: Final answer
    x = 224,907.27

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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.