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Finding the Third Proportional to 51,829,713 and 113,422,194

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Solution

The third proportional to 51,829,713 and 113,422,194 is: 248,208,862.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,713 : 113,422,194 = 113,422,194 : x
  2. Step 2: Convert to fraction form
    51,829,713/113,422,194 = 113,422,194/x
  3. Step 3: Cross multiply
    51,829,713x = 113,422,194 × 113,422,194
  4. Step 4: Simplify right side
    51,829,713x = 12,864,594,091,773,636
  5. Step 5: Solve for x
    x = 12,864,594,091,773,636/51,829,713
  6. Step 6: Final answer
    x = 248,208,862.20

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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.