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Finding the Third Proportional to 94,564 and 193,448

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Solution

The third proportional to 94,564 and 193,448 is: 395,733.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,564 : 193,448 = 193,448 : x
  2. Step 2: Convert to fraction form
    94,564/193,448 = 193,448/x
  3. Step 3: Cross multiply
    94,564x = 193,448 × 193,448
  4. Step 4: Simplify right side
    94,564x = 37,422,128,704
  5. Step 5: Solve for x
    x = 37,422,128,704/94,564
  6. Step 6: Final answer
    x = 395,733.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.