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Finding the Third Proportional to 231,225,794 and 338,156,678

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Solution

The third proportional to 231,225,794 and 338,156,678 is: 494,537,987.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,225,794 : 338,156,678 = 338,156,678 : x
  2. Step 2: Convert to fraction form
    231,225,794/338,156,678 = 338,156,678/x
  3. Step 3: Cross multiply
    231,225,794x = 338,156,678 × 338,156,678
  4. Step 4: Simplify right side
    231,225,794x = 114,349,938,875,995,680
  5. Step 5: Solve for x
    x = 114,349,938,875,995,680/231,225,794
  6. Step 6: Final answer
    x = 494,537,987.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.