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Finding the Third Proportional to 47,152.13 and 101,044.97

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Solution

The third proportional to 47,152.13 and 101,044.97 is: 216,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152.13 : 101,044.97 = 101,044.97 : x
  2. Step 2: Convert to fraction form
    47,152.13/101,044.97 = 101,044.97/x
  3. Step 3: Cross multiply
    47,152.13x = 101,044.97 × 101,044.97
  4. Step 4: Simplify right side
    47,152.13x = 10,210,085,709.69
  5. Step 5: Solve for x
    x = 10,210,085,709.69/47,152.13
  6. Step 6: Final answer
    x = 216,535.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.