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Finding the Third Proportional to 48,022,500 and 105,378,360

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Solution

The third proportional to 48,022,500 and 105,378,360 is: 231,237,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,022,500 : 105,378,360 = 105,378,360 : x
  2. Step 2: Convert to fraction form
    48,022,500/105,378,360 = 105,378,360/x
  3. Step 3: Cross multiply
    48,022,500x = 105,378,360 × 105,378,360
  4. Step 4: Simplify right side
    48,022,500x = 11,104,598,756,289,600
  5. Step 5: Solve for x
    x = 11,104,598,756,289,600/48,022,500
  6. Step 6: Final answer
    x = 231,237,414.88

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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.