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Finding the Third Proportional to 103,633,965 and 221,616,836

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Solution

The third proportional to 103,633,965 and 221,616,836 is: 473,918,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,965 : 221,616,836 = 221,616,836 : x
  2. Step 2: Convert to fraction form
    103,633,965/221,616,836 = 221,616,836/x
  3. Step 3: Cross multiply
    103,633,965x = 221,616,836 × 221,616,836
  4. Step 4: Simplify right side
    103,633,965x = 49,114,021,998,650,896
  5. Step 5: Solve for x
    x = 49,114,021,998,650,896/103,633,965
  6. Step 6: Final answer
    x = 473,918,198.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.