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Finding the Third Proportional to 101,199,416 and 221,901,040

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Solution

The third proportional to 101,199,416 and 221,901,040 is: 486,564,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,199,416 : 221,901,040 = 221,901,040 : x
  2. Step 2: Convert to fraction form
    101,199,416/221,901,040 = 221,901,040/x
  3. Step 3: Cross multiply
    101,199,416x = 221,901,040 × 221,901,040
  4. Step 4: Simplify right side
    101,199,416x = 49,240,071,553,081,600
  5. Step 5: Solve for x
    x = 49,240,071,553,081,600/101,199,416
  6. Step 6: Final answer
    x = 486,564,779.71

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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.