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Finding the Third Proportional to 91,000 and 196,904

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Solution

The third proportional to 91,000 and 196,904 is: 426,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,000 : 196,904 = 196,904 : x
  2. Step 2: Convert to fraction form
    91,000/196,904 = 196,904/x
  3. Step 3: Cross multiply
    91,000x = 196,904 × 196,904
  4. Step 4: Simplify right side
    91,000x = 38,771,185,216
  5. Step 5: Solve for x
    x = 38,771,185,216/91,000
  6. Step 6: Final answer
    x = 426,056.98

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