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Finding the Third Proportional to 94,833 and 203,160

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Solution

The third proportional to 94,833 and 203,160 is: 435,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,833 : 203,160 = 203,160 : x
  2. Step 2: Convert to fraction form
    94,833/203,160 = 203,160/x
  3. Step 3: Cross multiply
    94,833x = 203,160 × 203,160
  4. Step 4: Simplify right side
    94,833x = 41,273,985,600
  5. Step 5: Solve for x
    x = 41,273,985,600/94,833
  6. Step 6: Final answer
    x = 435,228.09

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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.