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Finding the Third Proportional to 103,672,870 and 223,948,966

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Solution

The third proportional to 103,672,870 and 223,948,966 is: 483,763,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672,870 : 223,948,966 = 223,948,966 : x
  2. Step 2: Convert to fraction form
    103,672,870/223,948,966 = 223,948,966/x
  3. Step 3: Cross multiply
    103,672,870x = 223,948,966 × 223,948,966
  4. Step 4: Simplify right side
    103,672,870x = 50,153,139,372,469,152
  5. Step 5: Solve for x
    x = 50,153,139,372,469,152/103,672,870
  6. Step 6: Final answer
    x = 483,763,393.19

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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.