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Finding the Third Proportional to 35,219.81 and 77,228.44

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Solution

The third proportional to 35,219.81 and 77,228.44 is: 169,343.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,219.81 : 77,228.44 = 77,228.44 : x
  2. Step 2: Convert to fraction form
    35,219.81/77,228.44 = 77,228.44/x
  3. Step 3: Cross multiply
    35,219.81x = 77,228.44 × 77,228.44
  4. Step 4: Simplify right side
    35,219.81x = 5,964,231,558.69
  5. Step 5: Solve for x
    x = 5,964,231,558.69/35,219.81
  6. Step 6: Final answer
    x = 169,343.08

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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.