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Finding the Third Proportional to 103,633,883 and 221,616,670

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Solution

The third proportional to 103,633,883 and 221,616,670 is: 473,917,863.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,883 : 221,616,670 = 221,616,670 : x
  2. Step 2: Convert to fraction form
    103,633,883/221,616,670 = 221,616,670/x
  3. Step 3: Cross multiply
    103,633,883x = 221,616,670 × 221,616,670
  4. Step 4: Simplify right side
    103,633,883x = 49,113,948,421,888,896
  5. Step 5: Solve for x
    x = 49,113,948,421,888,896/103,633,883
  6. Step 6: Final answer
    x = 473,917,863.54

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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.