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Finding the Third Proportional to 50,944,800.75 and 111,897,842.25

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Solution

The third proportional to 50,944,800.75 and 111,897,842.25 is: 245,778,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,944,800.75 : 111,897,842.25 = 111,897,842.25 : x
  2. Step 2: Convert to fraction form
    50,944,800.75/111,897,842.25 = 111,897,842.25/x
  3. Step 3: Cross multiply
    50,944,800.75x = 111,897,842.25 × 111,897,842.25
  4. Step 4: Simplify right side
    50,944,800.75x = 12,521,127,100,205,886
  5. Step 5: Solve for x
    x = 12,521,127,100,205,886/50,944,800.75
  6. Step 6: Final answer
    x = 245,778,311.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.