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Finding the Third Proportional to 103,672,837 and 223,948,901

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Solution

The third proportional to 103,672,837 and 223,948,901 is: 483,763,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672,837 : 223,948,901 = 223,948,901 : x
  2. Step 2: Convert to fraction form
    103,672,837/223,948,901 = 223,948,901/x
  3. Step 3: Cross multiply
    103,672,837x = 223,948,901 × 223,948,901
  4. Step 4: Simplify right side
    103,672,837x = 50,153,110,259,107,800
  5. Step 5: Solve for x
    x = 50,153,110,259,107,800/103,672,837
  6. Step 6: Final answer
    x = 483,763,266.35

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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.