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Finding the Third Proportional to 101,199,412 and 221,901,032

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Solution

The third proportional to 101,199,412 and 221,901,032 is: 486,564,763.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,199,412 : 221,901,032 = 221,901,032 : x
  2. Step 2: Convert to fraction form
    101,199,412/221,901,032 = 221,901,032/x
  3. Step 3: Cross multiply
    101,199,412x = 221,901,032 × 221,901,032
  4. Step 4: Simplify right side
    101,199,412x = 49,240,068,002,665,024
  5. Step 5: Solve for x
    x = 49,240,068,002,665,024/101,199,412
  6. Step 6: Final answer
    x = 486,564,763.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.