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Finding the Third Proportional to 83,178,051 and 185,481,389

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Solution

The third proportional to 83,178,051 and 185,481,389 is: 413,610,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,051 : 185,481,389 = 185,481,389 : x
  2. Step 2: Convert to fraction form
    83,178,051/185,481,389 = 185,481,389/x
  3. Step 3: Cross multiply
    83,178,051x = 185,481,389 × 185,481,389
  4. Step 4: Simplify right side
    83,178,051x = 34,403,345,665,369,320
  5. Step 5: Solve for x
    x = 34,403,345,665,369,320/83,178,051
  6. Step 6: Final answer
    x = 413,610,865.51

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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.