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Finding the Third Proportional to 55,193,542 and 120,051,416

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Solution

The third proportional to 55,193,542 and 120,051,416 is: 261,123,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,193,542 : 120,051,416 = 120,051,416 : x
  2. Step 2: Convert to fraction form
    55,193,542/120,051,416 = 120,051,416/x
  3. Step 3: Cross multiply
    55,193,542x = 120,051,416 × 120,051,416
  4. Step 4: Simplify right side
    55,193,542x = 14,412,342,483,605,056
  5. Step 5: Solve for x
    x = 14,412,342,483,605,056/55,193,542
  6. Step 6: Final answer
    x = 261,123,710.52

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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.