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Finding the Third Proportional to 94,540,334 and 205,645,000

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Solution

The third proportional to 94,540,334 and 205,645,000 is: 447,320,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,334 : 205,645,000 = 205,645,000 : x
  2. Step 2: Convert to fraction form
    94,540,334/205,645,000 = 205,645,000/x
  3. Step 3: Cross multiply
    94,540,334x = 205,645,000 × 205,645,000
  4. Step 4: Simplify right side
    94,540,334x = 42,289,866,025,000,000
  5. Step 5: Solve for x
    x = 42,289,866,025,000,000/94,540,334
  6. Step 6: Final answer
    x = 447,320,886.61

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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.