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Finding the Third Proportional to 102,517,444 and 224,507,932

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Solution

The third proportional to 102,517,444 and 224,507,932 is: 491,660,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517,444 : 224,507,932 = 224,507,932 : x
  2. Step 2: Convert to fraction form
    102,517,444/224,507,932 = 224,507,932/x
  3. Step 3: Cross multiply
    102,517,444x = 224,507,932 × 224,507,932
  4. Step 4: Simplify right side
    102,517,444x = 50,403,811,530,916,624
  5. Step 5: Solve for x
    x = 50,403,811,530,916,624/102,517,444
  6. Step 6: Final answer
    x = 491,660,829.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.