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Finding the Third Proportional to 103,474,782 and 162,321,624

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Solution

The third proportional to 103,474,782 and 162,321,624 is: 254,635,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474,782 : 162,321,624 = 162,321,624 : x
  2. Step 2: Convert to fraction form
    103,474,782/162,321,624 = 162,321,624/x
  3. Step 3: Cross multiply
    103,474,782x = 162,321,624 × 162,321,624
  4. Step 4: Simplify right side
    103,474,782x = 26,348,309,617,997,376
  5. Step 5: Solve for x
    x = 26,348,309,617,997,376/103,474,782
  6. Step 6: Final answer
    x = 254,635,082.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.