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Finding the Third Proportional to 91,119 and 197,214

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Solution

The third proportional to 91,119 and 197,214 is: 426,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,119 : 197,214 = 197,214 : x
  2. Step 2: Convert to fraction form
    91,119/197,214 = 197,214/x
  3. Step 3: Cross multiply
    91,119x = 197,214 × 197,214
  4. Step 4: Simplify right side
    91,119x = 38,893,361,796
  5. Step 5: Solve for x
    x = 38,893,361,796/91,119
  6. Step 6: Final answer
    x = 426,841.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.