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Finding the Third Proportional to 97,392 and 209,785.50

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Solution

The third proportional to 97,392 and 209,785.50 is: 451,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,392 : 209,785.50 = 209,785.50 : x
  2. Step 2: Convert to fraction form
    97,392/209,785.50 = 209,785.50/x
  3. Step 3: Cross multiply
    97,392x = 209,785.50 × 209,785.50
  4. Step 4: Simplify right side
    97,392x = 44,009,956,010.25
  5. Step 5: Solve for x
    x = 44,009,956,010.25/97,392
  6. Step 6: Final answer
    x = 451,884.71

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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.