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Finding the Third Proportional to 51,331,377 and 114,139,641

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Solution

The third proportional to 51,331,377 and 114,139,641 is: 253,799,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,331,377 : 114,139,641 = 114,139,641 : x
  2. Step 2: Convert to fraction form
    51,331,377/114,139,641 = 114,139,641/x
  3. Step 3: Cross multiply
    51,331,377x = 114,139,641 × 114,139,641
  4. Step 4: Simplify right side
    51,331,377x = 13,027,857,647,608,880
  5. Step 5: Solve for x
    x = 13,027,857,647,608,880/51,331,377
  6. Step 6: Final answer
    x = 253,799,107.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.