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Finding the Third Proportional to 41,801,175 and 87,413,782.50

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Solution

The third proportional to 41,801,175 and 87,413,782.50 is: 182,797,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,801,175 : 87,413,782.50 = 87,413,782.50 : x
  2. Step 2: Convert to fraction form
    41,801,175/87,413,782.50 = 87,413,782.50/x
  3. Step 3: Cross multiply
    41,801,175x = 87,413,782.50 × 87,413,782.50
  4. Step 4: Simplify right side
    41,801,175x = 7,641,169,370,957,306
  5. Step 5: Solve for x
    x = 7,641,169,370,957,306/41,801,175
  6. Step 6: Final answer
    x = 182,797,956.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.