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Finding the Third Proportional to 89,739,214 and 195,201,607

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Solution

The third proportional to 89,739,214 and 195,201,607 is: 424,604,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739,214 : 195,201,607 = 195,201,607 : x
  2. Step 2: Convert to fraction form
    89,739,214/195,201,607 = 195,201,607/x
  3. Step 3: Cross multiply
    89,739,214x = 195,201,607 × 195,201,607
  4. Step 4: Simplify right side
    89,739,214x = 38,103,667,375,382,448
  5. Step 5: Solve for x
    x = 38,103,667,375,382,448/89,739,214
  6. Step 6: Final answer
    x = 424,604,425.17

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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.