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Finding the Third Proportional to 103,672,848 and 223,948,922

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Solution

The third proportional to 103,672,848 and 223,948,922 is: 483,763,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672,848 : 223,948,922 = 223,948,922 : x
  2. Step 2: Convert to fraction form
    103,672,848/223,948,922 = 223,948,922/x
  3. Step 3: Cross multiply
    103,672,848x = 223,948,922 × 223,948,922
  4. Step 4: Simplify right side
    103,672,848x = 50,153,119,664,962,080
  5. Step 5: Solve for x
    x = 50,153,119,664,962,080/103,672,848
  6. Step 6: Final answer
    x = 483,763,305.75

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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.