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Finding the Third Proportional to 204,459,082 and 317,189,523

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Solution

The third proportional to 204,459,082 and 317,189,523 is: 492,074,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,459,082 : 317,189,523 = 317,189,523 : x
  2. Step 2: Convert to fraction form
    204,459,082/317,189,523 = 317,189,523/x
  3. Step 3: Cross multiply
    204,459,082x = 317,189,523 × 317,189,523
  4. Step 4: Simplify right side
    204,459,082x = 100,609,193,500,967,536
  5. Step 5: Solve for x
    x = 100,609,193,500,967,536/204,459,082
  6. Step 6: Final answer
    x = 492,074,954.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.