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Finding the Third Proportional to 103,633,970 and 221,616,847

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Solution

The third proportional to 103,633,970 and 221,616,847 is: 473,918,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,970 : 221,616,847 = 221,616,847 : x
  2. Step 2: Convert to fraction form
    103,633,970/221,616,847 = 221,616,847/x
  3. Step 3: Cross multiply
    103,633,970x = 221,616,847 × 221,616,847
  4. Step 4: Simplify right side
    103,633,970x = 49,114,026,874,221,408
  5. Step 5: Solve for x
    x = 49,114,026,874,221,408/103,633,970
  6. Step 6: Final answer
    x = 473,918,222.70

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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.