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Finding the Third Proportional to 48,280,500 and 103,464,279

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Solution

The third proportional to 48,280,500 and 103,464,279 is: 221,722,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,280,500 : 103,464,279 = 103,464,279 : x
  2. Step 2: Convert to fraction form
    48,280,500/103,464,279 = 103,464,279/x
  3. Step 3: Cross multiply
    48,280,500x = 103,464,279 × 103,464,279
  4. Step 4: Simplify right side
    48,280,500x = 10,704,857,028,989,840
  5. Step 5: Solve for x
    x = 10,704,857,028,989,840/48,280,500
  6. Step 6: Final answer
    x = 221,722,165.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.