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Finding the Third Proportional to 195,670,140 and 426,498,096

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Solution

The third proportional to 195,670,140 and 426,498,096 is: 929,628,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,670,140 : 426,498,096 = 426,498,096 : x
  2. Step 2: Convert to fraction form
    195,670,140/426,498,096 = 426,498,096/x
  3. Step 3: Cross multiply
    195,670,140x = 426,498,096 × 426,498,096
  4. Step 4: Simplify right side
    195,670,140x = 181,900,625,891,625,216
  5. Step 5: Solve for x
    x = 181,900,625,891,625,216/195,670,140
  6. Step 6: Final answer
    x = 929,628,945.39

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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.