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Finding the Third Proportional to 103,672,860 and 223,948,946

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Solution

The third proportional to 103,672,860 and 223,948,946 is: 483,763,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672,860 : 223,948,946 = 223,948,946 : x
  2. Step 2: Convert to fraction form
    103,672,860/223,948,946 = 223,948,946/x
  3. Step 3: Cross multiply
    103,672,860x = 223,948,946 × 223,948,946
  4. Step 4: Simplify right side
    103,672,860x = 50,153,130,414,510,912
  5. Step 5: Solve for x
    x = 50,153,130,414,510,912/103,672,860
  6. Step 6: Final answer
    x = 483,763,353.44

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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.