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Finding the Third Proportional to 94,540,371 and 205,645,080

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Solution

The third proportional to 94,540,371 and 205,645,080 is: 447,321,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,371 : 205,645,080 = 205,645,080 : x
  2. Step 2: Convert to fraction form
    94,540,371/205,645,080 = 205,645,080/x
  3. Step 3: Cross multiply
    94,540,371x = 205,645,080 × 205,645,080
  4. Step 4: Simplify right side
    94,540,371x = 42,289,898,928,206,400
  5. Step 5: Solve for x
    x = 42,289,898,928,206,400/94,540,371
  6. Step 6: Final answer
    x = 447,321,059.57

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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.