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Finding the Third Proportional to 91,356 and 197,184

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Solution

The third proportional to 91,356 and 197,184 is: 425,604.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,356 : 197,184 = 197,184 : x
  2. Step 2: Convert to fraction form
    91,356/197,184 = 197,184/x
  3. Step 3: Cross multiply
    91,356x = 197,184 × 197,184
  4. Step 4: Simplify right side
    91,356x = 38,881,529,856
  5. Step 5: Solve for x
    x = 38,881,529,856/91,356
  6. Step 6: Final answer
    x = 425,604.56

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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.