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Finding the Third Proportional to 100,875.75 and 218,451

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Solution

The third proportional to 100,875.75 and 218,451 is: 473,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,875.75 : 218,451 = 218,451 : x
  2. Step 2: Convert to fraction form
    100,875.75/218,451 = 218,451/x
  3. Step 3: Cross multiply
    100,875.75x = 218,451 × 218,451
  4. Step 4: Simplify right side
    100,875.75x = 47,720,839,401
  5. Step 5: Solve for x
    x = 47,720,839,401/100,875.75
  6. Step 6: Final answer
    x = 473,065.52

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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.