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Finding the Third Proportional to 230,801,536 and 487,357,184

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Solution

The third proportional to 230,801,536 and 487,357,184 is: 1,029,096,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,801,536 : 487,357,184 = 487,357,184 : x
  2. Step 2: Convert to fraction form
    230,801,536/487,357,184 = 487,357,184/x
  3. Step 3: Cross multiply
    230,801,536x = 487,357,184 × 487,357,184
  4. Step 4: Simplify right side
    230,801,536x = 237,517,024,796,409,856
  5. Step 5: Solve for x
    x = 237,517,024,796,409,856/230,801,536
  6. Step 6: Final answer
    x = 1,029,096,378.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.