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Finding the Third Proportional to 70,499.81 and 146,809.69

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Solution

The third proportional to 70,499.81 and 146,809.69 is: 305,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,499.81 : 146,809.69 = 146,809.69 : x
  2. Step 2: Convert to fraction form
    70,499.81/146,809.69 = 146,809.69/x
  3. Step 3: Cross multiply
    70,499.81x = 146,809.69 × 146,809.69
  4. Step 4: Simplify right side
    70,499.81x = 21,553,084,343.85
  5. Step 5: Solve for x
    x = 21,553,084,343.85/70,499.81
  6. Step 6: Final answer
    x = 305,718.32

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.