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Finding the Third Proportional to 91,289 and 197,989

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Solution

The third proportional to 91,289 and 197,989 is: 429,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,289 : 197,989 = 197,989 : x
  2. Step 2: Convert to fraction form
    91,289/197,989 = 197,989/x
  3. Step 3: Cross multiply
    91,289x = 197,989 × 197,989
  4. Step 4: Simplify right side
    91,289x = 39,199,644,121
  5. Step 5: Solve for x
    x = 39,199,644,121/91,289
  6. Step 6: Final answer
    x = 429,401.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.