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Finding the Third Proportional to 83,696,226 and 177,348,540

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Solution

The third proportional to 83,696,226 and 177,348,540 is: 375,793,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,696,226 : 177,348,540 = 177,348,540 : x
  2. Step 2: Convert to fraction form
    83,696,226/177,348,540 = 177,348,540/x
  3. Step 3: Cross multiply
    83,696,226x = 177,348,540 × 177,348,540
  4. Step 4: Simplify right side
    83,696,226x = 31,452,504,640,131,600
  5. Step 5: Solve for x
    x = 31,452,504,640,131,600/83,696,226
  6. Step 6: Final answer
    x = 375,793,582.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.