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Finding the Third Proportional to 41,413,823.25 and 90,099,784.88

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Solution

The third proportional to 41,413,823.25 and 90,099,784.88 is: 196,020,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,413,823.25 : 90,099,784.88 = 90,099,784.88 : x
  2. Step 2: Convert to fraction form
    41,413,823.25/90,099,784.88 = 90,099,784.88/x
  3. Step 3: Cross multiply
    41,413,823.25x = 90,099,784.88 × 90,099,784.88
  4. Step 4: Simplify right side
    41,413,823.25x = 8,117,971,234,521,279
  5. Step 5: Solve for x
    x = 8,117,971,234,521,279/41,413,823.25
  6. Step 6: Final answer
    x = 196,020,811.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.