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Finding the Third Proportional to 89,729,340 and 195,205,080

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Solution

The third proportional to 89,729,340 and 195,205,080 is: 424,666,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,729,340 : 195,205,080 = 195,205,080 : x
  2. Step 2: Convert to fraction form
    89,729,340/195,205,080 = 195,205,080/x
  3. Step 3: Cross multiply
    89,729,340x = 195,205,080 × 195,205,080
  4. Step 4: Simplify right side
    89,729,340x = 38,105,023,257,806,400
  5. Step 5: Solve for x
    x = 38,105,023,257,806,400/89,729,340
  6. Step 6: Final answer
    x = 424,666,260.31

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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.