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Finding the Third Proportional to 48,130,389 and 103,933,314

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Solution

The third proportional to 48,130,389 and 103,933,314 is: 224,434,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,130,389 : 103,933,314 = 103,933,314 : x
  2. Step 2: Convert to fraction form
    48,130,389/103,933,314 = 103,933,314/x
  3. Step 3: Cross multiply
    48,130,389x = 103,933,314 × 103,933,314
  4. Step 4: Simplify right side
    48,130,389x = 10,802,133,759,022,596
  5. Step 5: Solve for x
    x = 10,802,133,759,022,596/48,130,389
  6. Step 6: Final answer
    x = 224,434,790.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.