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Finding the Third Proportional to 94,429.50 and 202,893

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Solution

The third proportional to 94,429.50 and 202,893 is: 435,939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,429.50 : 202,893 = 202,893 : x
  2. Step 2: Convert to fraction form
    94,429.50/202,893 = 202,893/x
  3. Step 3: Cross multiply
    94,429.50x = 202,893 × 202,893
  4. Step 4: Simplify right side
    94,429.50x = 41,165,569,449
  5. Step 5: Solve for x
    x = 41,165,569,449/94,429.50
  6. Step 6: Final answer
    x = 435,939.72

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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.