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Finding the Third Proportional to 97,458.19 and 196,966.69

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Solution

The third proportional to 97,458.19 and 196,966.69 is: 398,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,458.19 : 196,966.69 = 196,966.69 : x
  2. Step 2: Convert to fraction form
    97,458.19/196,966.69 = 196,966.69/x
  3. Step 3: Cross multiply
    97,458.19x = 196,966.69 × 196,966.69
  4. Step 4: Simplify right side
    97,458.19x = 38,795,875,984.72
  5. Step 5: Solve for x
    x = 38,795,875,984.72/97,458.19
  6. Step 6: Final answer
    x = 398,077.13

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.