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Finding the Third Proportional to 111,985,548 and 232,910,454

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Solution

The third proportional to 111,985,548 and 232,910,454 is: 484,413,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,985,548 : 232,910,454 = 232,910,454 : x
  2. Step 2: Convert to fraction form
    111,985,548/232,910,454 = 232,910,454/x
  3. Step 3: Cross multiply
    111,985,548x = 232,910,454 × 232,910,454
  4. Step 4: Simplify right side
    111,985,548x = 54,247,279,582,486,112
  5. Step 5: Solve for x
    x = 54,247,279,582,486,112/111,985,548
  6. Step 6: Final answer
    x = 484,413,217.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.