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Finding the Third Proportional to 186,986,264 and 279,432,855

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Solution

The third proportional to 186,986,264 and 279,432,855 is: 417,585,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,986,264 : 279,432,855 = 279,432,855 : x
  2. Step 2: Convert to fraction form
    186,986,264/279,432,855 = 279,432,855/x
  3. Step 3: Cross multiply
    186,986,264x = 279,432,855 × 279,432,855
  4. Step 4: Simplify right side
    186,986,264x = 78,082,720,453,451,024
  5. Step 5: Solve for x
    x = 78,082,720,453,451,024/186,986,264
  6. Step 6: Final answer
    x = 417,585,328.37

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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.