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Finding the Third Proportional to 121,610,084 and 188,462,180

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Solution

The third proportional to 121,610,084 and 188,462,180 is: 292,064,540.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,610,084 : 188,462,180 = 188,462,180 : x
  2. Step 2: Convert to fraction form
    121,610,084/188,462,180 = 188,462,180/x
  3. Step 3: Cross multiply
    121,610,084x = 188,462,180 × 188,462,180
  4. Step 4: Simplify right side
    121,610,084x = 35,517,993,290,352,400
  5. Step 5: Solve for x
    x = 35,517,993,290,352,400/121,610,084
  6. Step 6: Final answer
    x = 292,064,540.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.