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Finding the Third Proportional to 101,976.75 and 218,709

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Solution

The third proportional to 101,976.75 and 218,709 is: 469,064.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,976.75 : 218,709 = 218,709 : x
  2. Step 2: Convert to fraction form
    101,976.75/218,709 = 218,709/x
  3. Step 3: Cross multiply
    101,976.75x = 218,709 × 218,709
  4. Step 4: Simplify right side
    101,976.75x = 47,833,626,681
  5. Step 5: Solve for x
    x = 47,833,626,681/101,976.75
  6. Step 6: Final answer
    x = 469,064.04

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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.