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Finding the Third Proportional to 88,368 and 193,536

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Solution

The third proportional to 88,368 and 193,536 is: 423,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,368 : 193,536 = 193,536 : x
  2. Step 2: Convert to fraction form
    88,368/193,536 = 193,536/x
  3. Step 3: Cross multiply
    88,368x = 193,536 × 193,536
  4. Step 4: Simplify right side
    88,368x = 37,456,183,296
  5. Step 5: Solve for x
    x = 37,456,183,296/88,368
  6. Step 6: Final answer
    x = 423,865.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.