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Finding the Third Proportional to 225,683,807 and 311,843,766

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Solution

The third proportional to 225,683,807 and 311,843,766 is: 430,897,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,683,807 : 311,843,766 = 311,843,766 : x
  2. Step 2: Convert to fraction form
    225,683,807/311,843,766 = 311,843,766/x
  3. Step 3: Cross multiply
    225,683,807x = 311,843,766 × 311,843,766
  4. Step 4: Simplify right side
    225,683,807x = 97,246,534,393,062,752
  5. Step 5: Solve for x
    x = 97,246,534,393,062,752/225,683,807
  6. Step 6: Final answer
    x = 430,897,261.46

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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.