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Finding the Third Proportional to 70,518.19 and 153,896.44

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Solution

The third proportional to 70,518.19 and 153,896.44 is: 335,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,518.19 : 153,896.44 = 153,896.44 : x
  2. Step 2: Convert to fraction form
    70,518.19/153,896.44 = 153,896.44/x
  3. Step 3: Cross multiply
    70,518.19x = 153,896.44 × 153,896.44
  4. Step 4: Simplify right side
    70,518.19x = 23,684,113,475.19
  5. Step 5: Solve for x
    x = 23,684,113,475.19/70,518.19
  6. Step 6: Final answer
    x = 335,858.23

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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.