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Finding the Third Proportional to 186,986,260 and 279,432,849

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Solution

The third proportional to 186,986,260 and 279,432,849 is: 417,585,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,986,260 : 279,432,849 = 279,432,849 : x
  2. Step 2: Convert to fraction form
    186,986,260/279,432,849 = 279,432,849/x
  3. Step 3: Cross multiply
    186,986,260x = 279,432,849 × 279,432,849
  4. Step 4: Simplify right side
    186,986,260x = 78,082,717,100,256,800
  5. Step 5: Solve for x
    x = 78,082,717,100,256,800/186,986,260
  6. Step 6: Final answer
    x = 417,585,319.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.