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Finding the Third Proportional to 230,892,120 and 480,889,872

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Solution

The third proportional to 230,892,120 and 480,889,872 is: 1,001,571,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,892,120 : 480,889,872 = 480,889,872 : x
  2. Step 2: Convert to fraction form
    230,892,120/480,889,872 = 480,889,872/x
  3. Step 3: Cross multiply
    230,892,120x = 480,889,872 × 480,889,872
  4. Step 4: Simplify right side
    230,892,120x = 231,255,068,992,176,384
  5. Step 5: Solve for x
    x = 231,255,068,992,176,384/230,892,120
  6. Step 6: Final answer
    x = 1,001,571,941.88

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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.