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Finding the Third Proportional to 51,825,702 and 113,414,220

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Solution

The third proportional to 51,825,702 and 113,414,220 is: 248,193,170.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825,702 : 113,414,220 = 113,414,220 : x
  2. Step 2: Convert to fraction form
    51,825,702/113,414,220 = 113,414,220/x
  3. Step 3: Cross multiply
    51,825,702x = 113,414,220 × 113,414,220
  4. Step 4: Simplify right side
    51,825,702x = 12,862,785,298,208,400
  5. Step 5: Solve for x
    x = 12,862,785,298,208,400/51,825,702
  6. Step 6: Final answer
    x = 248,193,170.60

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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.