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Finding the Third Proportional to 49,148,792 and 109,206,256

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Solution

The third proportional to 49,148,792 and 109,206,256 is: 242,651,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148,792 : 109,206,256 = 109,206,256 : x
  2. Step 2: Convert to fraction form
    49,148,792/109,206,256 = 109,206,256/x
  3. Step 3: Cross multiply
    49,148,792x = 109,206,256 × 109,206,256
  4. Step 4: Simplify right side
    49,148,792x = 11,926,006,349,537,536
  5. Step 5: Solve for x
    x = 11,926,006,349,537,536/49,148,792
  6. Step 6: Final answer
    x = 242,651,057.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.