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Finding the Third Proportional to 225,683,806 and 311,843,764

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Solution

The third proportional to 225,683,806 and 311,843,764 is: 430,897,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,683,806 : 311,843,764 = 311,843,764 : x
  2. Step 2: Convert to fraction form
    225,683,806/311,843,764 = 311,843,764/x
  3. Step 3: Cross multiply
    225,683,806x = 311,843,764 × 311,843,764
  4. Step 4: Simplify right side
    225,683,806x = 97,246,533,145,687,696
  5. Step 5: Solve for x
    x = 97,246,533,145,687,696/225,683,806
  6. Step 6: Final answer
    x = 430,897,257.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.