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Finding the Third Proportional to 220,873,704 and 480,532,146

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Solution

The third proportional to 220,873,704 and 480,532,146 is: 1,045,444,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,873,704 : 480,532,146 = 480,532,146 : x
  2. Step 2: Convert to fraction form
    220,873,704/480,532,146 = 480,532,146/x
  3. Step 3: Cross multiply
    220,873,704x = 480,532,146 × 480,532,146
  4. Step 4: Simplify right side
    220,873,704x = 230,911,143,339,365,312
  5. Step 5: Solve for x
    x = 230,911,143,339,365,312/220,873,704
  6. Step 6: Final answer
    x = 1,045,444,247.81

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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.