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Finding the Third Proportional to 101,746.13 and 221,002.17

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Solution

The third proportional to 101,746.13 and 221,002.17 is: 480,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746.13 : 221,002.17 = 221,002.17 : x
  2. Step 2: Convert to fraction form
    101,746.13/221,002.17 = 221,002.17/x
  3. Step 3: Cross multiply
    101,746.13x = 221,002.17 × 221,002.17
  4. Step 4: Simplify right side
    101,746.13x = 48,841,959,973.47
  5. Step 5: Solve for x
    x = 48,841,959,973.47/101,746.13
  6. Step 6: Final answer
    x = 480,037.54

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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.