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Finding the Third Proportional to 70,693.84 and 154,088.65

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Solution

The third proportional to 70,693.84 and 154,088.65 is: 335,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,693.84 : 154,088.65 = 154,088.65 : x
  2. Step 2: Convert to fraction form
    70,693.84/154,088.65 = 154,088.65/x
  3. Step 3: Cross multiply
    70,693.84x = 154,088.65 × 154,088.65
  4. Step 4: Simplify right side
    70,693.84x = 23,743,311,577.30
  5. Step 5: Solve for x
    x = 23,743,311,577.30/70,693.84
  6. Step 6: Final answer
    x = 335,861.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.