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Finding the Third Proportional to 206,684,080 and 306,151,714

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Solution

The third proportional to 206,684,080 and 306,151,714 is: 453,488,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684,080 : 306,151,714 = 306,151,714 : x
  2. Step 2: Convert to fraction form
    206,684,080/306,151,714 = 306,151,714/x
  3. Step 3: Cross multiply
    206,684,080x = 306,151,714 × 306,151,714
  4. Step 4: Simplify right side
    206,684,080x = 93,728,871,985,137,792
  5. Step 5: Solve for x
    x = 93,728,871,985,137,792/206,684,080
  6. Step 6: Final answer
    x = 453,488,589.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.