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Finding the Third Proportional to 83,178,044.50 and 185,481,377

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Solution

The third proportional to 83,178,044.50 and 185,481,377 is: 413,610,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,044.50 : 185,481,377 = 185,481,377 : x
  2. Step 2: Convert to fraction form
    83,178,044.50/185,481,377 = 185,481,377/x
  3. Step 3: Cross multiply
    83,178,044.50x = 185,481,377 × 185,481,377
  4. Step 4: Simplify right side
    83,178,044.50x = 34,403,341,213,816,128
  5. Step 5: Solve for x
    x = 34,403,341,213,816,128/83,178,044.50
  6. Step 6: Final answer
    x = 413,610,844.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.