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Finding the Third Proportional to 91,044 and 198,693

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Solution

The third proportional to 91,044 and 198,693 is: 433,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,044 : 198,693 = 198,693 : x
  2. Step 2: Convert to fraction form
    91,044/198,693 = 198,693/x
  3. Step 3: Cross multiply
    91,044x = 198,693 × 198,693
  4. Step 4: Simplify right side
    91,044x = 39,478,908,249
  5. Step 5: Solve for x
    x = 39,478,908,249/91,044
  6. Step 6: Final answer
    x = 433,624.49

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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.