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Finding the Third Proportional to 91,054 and 197,084

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Solution

The third proportional to 91,054 and 197,084 is: 426,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,054 : 197,084 = 197,084 : x
  2. Step 2: Convert to fraction form
    91,054/197,084 = 197,084/x
  3. Step 3: Cross multiply
    91,054x = 197,084 × 197,084
  4. Step 4: Simplify right side
    91,054x = 38,842,103,056
  5. Step 5: Solve for x
    x = 38,842,103,056/91,054
  6. Step 6: Final answer
    x = 426,583.16

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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.