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Finding the Third Proportional to 103,672,853 and 223,948,933

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Solution

The third proportional to 103,672,853 and 223,948,933 is: 483,763,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672,853 : 223,948,933 = 223,948,933 : x
  2. Step 2: Convert to fraction form
    103,672,853/223,948,933 = 223,948,933/x
  3. Step 3: Cross multiply
    103,672,853x = 223,948,933 × 223,948,933
  4. Step 4: Simplify right side
    103,672,853x = 50,153,124,591,838,488
  5. Step 5: Solve for x
    x = 50,153,124,591,838,488/103,672,853
  6. Step 6: Final answer
    x = 483,763,329.94

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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.