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Finding the Third Proportional to 100,482.13 and 221,204.88

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Solution

The third proportional to 100,482.13 and 221,204.88 is: 486,968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,482.13 : 221,204.88 = 221,204.88 : x
  2. Step 2: Convert to fraction form
    100,482.13/221,204.88 = 221,204.88/x
  3. Step 3: Cross multiply
    100,482.13x = 221,204.88 × 221,204.88
  4. Step 4: Simplify right side
    100,482.13x = 48,931,596,723.77
  5. Step 5: Solve for x
    x = 48,931,596,723.77/100,482.13
  6. Step 6: Final answer
    x = 486,968.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.