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Finding the Third Proportional to 186,986,250 and 279,432,834.75

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Solution

The third proportional to 186,986,250 and 279,432,834.75 is: 417,585,299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,986,250 : 279,432,834.75 = 279,432,834.75 : x
  2. Step 2: Convert to fraction form
    186,986,250/279,432,834.75 = 279,432,834.75/x
  3. Step 3: Cross multiply
    186,986,250x = 279,432,834.75 × 279,432,834.75
  4. Step 4: Simplify right side
    186,986,250x = 78,082,709,136,420,800
  5. Step 5: Solve for x
    x = 78,082,709,136,420,800/186,986,250
  6. Step 6: Final answer
    x = 417,585,299.11

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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.