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Finding the Third Proportional to 183,687,103.50 and 396,595,257

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Solution

The third proportional to 183,687,103.50 and 396,595,257 is: 856,281,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,687,103.50 : 396,595,257 = 396,595,257 : x
  2. Step 2: Convert to fraction form
    183,687,103.50/396,595,257 = 396,595,257/x
  3. Step 3: Cross multiply
    183,687,103.50x = 396,595,257 × 396,595,257
  4. Step 4: Simplify right side
    183,687,103.50x = 157,287,797,874,896,064
  5. Step 5: Solve for x
    x = 157,287,797,874,896,064/183,687,103.50
  6. Step 6: Final answer
    x = 856,281,115.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.