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Finding the Third Proportional to 49,350,320 and 106,937,360

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Solution

The third proportional to 49,350,320 and 106,937,360 is: 231,722,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,350,320 : 106,937,360 = 106,937,360 : x
  2. Step 2: Convert to fraction form
    49,350,320/106,937,360 = 106,937,360/x
  3. Step 3: Cross multiply
    49,350,320x = 106,937,360 × 106,937,360
  4. Step 4: Simplify right side
    49,350,320x = 11,435,598,963,769,600
  5. Step 5: Solve for x
    x = 11,435,598,963,769,600/49,350,320
  6. Step 6: Final answer
    x = 231,722,893.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.