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Finding the Third Proportional to 97,154.81 and 209,071.92

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Solution

The third proportional to 97,154.81 and 209,071.92 is: 449,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,154.81 : 209,071.92 = 209,071.92 : x
  2. Step 2: Convert to fraction form
    97,154.81/209,071.92 = 209,071.92/x
  3. Step 3: Cross multiply
    97,154.81x = 209,071.92 × 209,071.92
  4. Step 4: Simplify right side
    97,154.81x = 43,711,068,516.51
  5. Step 5: Solve for x
    x = 43,711,068,516.51/97,154.81
  6. Step 6: Final answer
    x = 449,911.51

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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.