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Finding the Third Proportional to 70,222.78 and 153,583.17

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Solution

The third proportional to 70,222.78 and 153,583.17 is: 335,899.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,222.78 : 153,583.17 = 153,583.17 : x
  2. Step 2: Convert to fraction form
    70,222.78/153,583.17 = 153,583.17/x
  3. Step 3: Cross multiply
    70,222.78x = 153,583.17 × 153,583.17
  4. Step 4: Simplify right side
    70,222.78x = 23,587,790,683.19
  5. Step 5: Solve for x
    x = 23,587,790,683.19/70,222.78
  6. Step 6: Final answer
    x = 335,899.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.