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Finding the Third Proportional to 89,739,216 and 195,201,611

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Solution

The third proportional to 89,739,216 and 195,201,611 is: 424,604,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739,216 : 195,201,611 = 195,201,611 : x
  2. Step 2: Convert to fraction form
    89,739,216/195,201,611 = 195,201,611/x
  3. Step 3: Cross multiply
    89,739,216x = 195,201,611 × 195,201,611
  4. Step 4: Simplify right side
    89,739,216x = 38,103,668,936,995,320
  5. Step 5: Solve for x
    x = 38,103,668,936,995,320/89,739,216
  6. Step 6: Final answer
    x = 424,604,433.11

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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.