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Finding the Third Proportional to 55,193,540 and 120,051,412

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Solution

The third proportional to 55,193,540 and 120,051,412 is: 261,123,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,193,540 : 120,051,412 = 120,051,412 : x
  2. Step 2: Convert to fraction form
    55,193,540/120,051,412 = 120,051,412/x
  3. Step 3: Cross multiply
    55,193,540x = 120,051,412 × 120,051,412
  4. Step 4: Simplify right side
    55,193,540x = 14,412,341,523,193,744
  5. Step 5: Solve for x
    x = 14,412,341,523,193,744/55,193,540
  6. Step 6: Final answer
    x = 261,123,702.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.