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Finding the Third Proportional to 92,352 and 196,224

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Solution

The third proportional to 92,352 and 196,224 is: 416,925.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,352 : 196,224 = 196,224 : x
  2. Step 2: Convert to fraction form
    92,352/196,224 = 196,224/x
  3. Step 3: Cross multiply
    92,352x = 196,224 × 196,224
  4. Step 4: Simplify right side
    92,352x = 38,503,858,176
  5. Step 5: Solve for x
    x = 38,503,858,176/92,352
  6. Step 6: Final answer
    x = 416,925.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.