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Finding the Third Proportional to 101,482 and 218,082

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Solution

The third proportional to 101,482 and 218,082 is: 468,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,482 : 218,082 = 218,082 : x
  2. Step 2: Convert to fraction form
    101,482/218,082 = 218,082/x
  3. Step 3: Cross multiply
    101,482x = 218,082 × 218,082
  4. Step 4: Simplify right side
    101,482x = 47,559,758,724
  5. Step 5: Solve for x
    x = 47,559,758,724/101,482
  6. Step 6: Final answer
    x = 468,652.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.