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Finding the Third Proportional to 101,150.81 and 221,350.13

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Solution

The third proportional to 101,150.81 and 221,350.13 is: 484,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,150.81 : 221,350.13 = 221,350.13 : x
  2. Step 2: Convert to fraction form
    101,150.81/221,350.13 = 221,350.13/x
  3. Step 3: Cross multiply
    101,150.81x = 221,350.13 × 221,350.13
  4. Step 4: Simplify right side
    101,150.81x = 48,995,877,837.52
  5. Step 5: Solve for x
    x = 48,995,877,837.52/101,150.81
  6. Step 6: Final answer
    x = 484,384.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.