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Finding the Third Proportional to 91,602 and 193,044

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Solution

The third proportional to 91,602 and 193,044 is: 406,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,602 : 193,044 = 193,044 : x
  2. Step 2: Convert to fraction form
    91,602/193,044 = 193,044/x
  3. Step 3: Cross multiply
    91,602x = 193,044 × 193,044
  4. Step 4: Simplify right side
    91,602x = 37,265,985,936
  5. Step 5: Solve for x
    x = 37,265,985,936/91,602
  6. Step 6: Final answer
    x = 406,825.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.