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Finding the Third Proportional to 55,198,226 and 120,422,475

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Solution

The third proportional to 55,198,226 and 120,422,475 is: 262,718,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198,226 : 120,422,475 = 120,422,475 : x
  2. Step 2: Convert to fraction form
    55,198,226/120,422,475 = 120,422,475/x
  3. Step 3: Cross multiply
    55,198,226x = 120,422,475 × 120,422,475
  4. Step 4: Simplify right side
    55,198,226x = 14,501,572,485,125,624
  5. Step 5: Solve for x
    x = 14,501,572,485,125,624/55,198,226
  6. Step 6: Final answer
    x = 262,718,089.62

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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.