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Finding the Third Proportional to 231,225,792 and 338,156,676

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Solution

The third proportional to 231,225,792 and 338,156,676 is: 494,537,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,225,792 : 338,156,676 = 338,156,676 : x
  2. Step 2: Convert to fraction form
    231,225,792/338,156,676 = 338,156,676/x
  3. Step 3: Cross multiply
    231,225,792x = 338,156,676 × 338,156,676
  4. Step 4: Simplify right side
    231,225,792x = 114,349,937,523,368,976
  5. Step 5: Solve for x
    x = 114,349,937,523,368,976/231,225,792
  6. Step 6: Final answer
    x = 494,537,986.16

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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.