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Finding the Third Proportional to 103,672,842 and 223,948,910

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Solution

The third proportional to 103,672,842 and 223,948,910 is: 483,763,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672,842 : 223,948,910 = 223,948,910 : x
  2. Step 2: Convert to fraction form
    103,672,842/223,948,910 = 223,948,910/x
  3. Step 3: Cross multiply
    103,672,842x = 223,948,910 × 223,948,910
  4. Step 4: Simplify right side
    103,672,842x = 50,153,114,290,188,096
  5. Step 5: Solve for x
    x = 50,153,114,290,188,096/103,672,842
  6. Step 6: Final answer
    x = 483,763,281.90

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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.