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Finding the Third Proportional to 142,517,714 and 312,273,700

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Solution

The third proportional to 142,517,714 and 312,273,700 is: 684,229,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,517,714 : 312,273,700 = 312,273,700 : x
  2. Step 2: Convert to fraction form
    142,517,714/312,273,700 = 312,273,700/x
  3. Step 3: Cross multiply
    142,517,714x = 312,273,700 × 312,273,700
  4. Step 4: Simplify right side
    142,517,714x = 97,514,863,711,690,000
  5. Step 5: Solve for x
    x = 97,514,863,711,690,000/142,517,714
  6. Step 6: Final answer
    x = 684,229,777.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.