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Finding the Third Proportional to 91,312 and 199,233

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Solution

The third proportional to 91,312 and 199,233 is: 434,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,312 : 199,233 = 199,233 : x
  2. Step 2: Convert to fraction form
    91,312/199,233 = 199,233/x
  3. Step 3: Cross multiply
    91,312x = 199,233 × 199,233
  4. Step 4: Simplify right side
    91,312x = 39,693,788,289
  5. Step 5: Solve for x
    x = 39,693,788,289/91,312
  6. Step 6: Final answer
    x = 434,705.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.