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Finding the Third Proportional to 231,225,790 and 338,156,672

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Solution

The third proportional to 231,225,790 and 338,156,672 is: 494,537,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,225,790 : 338,156,672 = 338,156,672 : x
  2. Step 2: Convert to fraction form
    231,225,790/338,156,672 = 338,156,672/x
  3. Step 3: Cross multiply
    231,225,790x = 338,156,672 × 338,156,672
  4. Step 4: Simplify right side
    231,225,790x = 114,349,934,818,115,584
  5. Step 5: Solve for x
    x = 114,349,934,818,115,584/231,225,790
  6. Step 6: Final answer
    x = 494,537,978.74

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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.