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Finding the Third Proportional to 225,683,727 and 311,843,643

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Solution

The third proportional to 225,683,727 and 311,843,643 is: 430,897,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,683,727 : 311,843,643 = 311,843,643 : x
  2. Step 2: Convert to fraction form
    225,683,727/311,843,643 = 311,843,643/x
  3. Step 3: Cross multiply
    225,683,727x = 311,843,643 × 311,843,643
  4. Step 4: Simplify right side
    225,683,727x = 97,246,457,679,511,456
  5. Step 5: Solve for x
    x = 97,246,457,679,511,456/225,683,727
  6. Step 6: Final answer
    x = 430,897,074.29

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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.