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Finding the Third Proportional to 94,319 and 202,135

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Solution

The third proportional to 94,319 and 202,135 is: 433,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,319 : 202,135 = 202,135 : x
  2. Step 2: Convert to fraction form
    94,319/202,135 = 202,135/x
  3. Step 3: Cross multiply
    94,319x = 202,135 × 202,135
  4. Step 4: Simplify right side
    94,319x = 40,858,558,225
  5. Step 5: Solve for x
    x = 40,858,558,225/94,319
  6. Step 6: Final answer
    x = 433,195.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.