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Finding the Third Proportional to 89,739,467 and 195,202,110

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Solution

The third proportional to 89,739,467 and 195,202,110 is: 424,605,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739,467 : 195,202,110 = 195,202,110 : x
  2. Step 2: Convert to fraction form
    89,739,467/195,202,110 = 195,202,110/x
  3. Step 3: Cross multiply
    89,739,467x = 195,202,110 × 195,202,110
  4. Step 4: Simplify right side
    89,739,467x = 38,103,863,748,452,096
  5. Step 5: Solve for x
    x = 38,103,863,748,452,096/89,739,467
  6. Step 6: Final answer
    x = 424,605,416.35

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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.