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Finding the Third Proportional to 90,117 and 193,473

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Solution

The third proportional to 90,117 and 193,473 is: 415,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,117 : 193,473 = 193,473 : x
  2. Step 2: Convert to fraction form
    90,117/193,473 = 193,473/x
  3. Step 3: Cross multiply
    90,117x = 193,473 × 193,473
  4. Step 4: Simplify right side
    90,117x = 37,431,801,729
  5. Step 5: Solve for x
    x = 37,431,801,729/90,117
  6. Step 6: Final answer
    x = 415,368.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.