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Finding the Third Proportional to 69,028.88 and 147,889.13

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Solution

The third proportional to 69,028.88 and 147,889.13 is: 316,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,028.88 : 147,889.13 = 147,889.13 : x
  2. Step 2: Convert to fraction form
    69,028.88/147,889.13 = 147,889.13/x
  3. Step 3: Cross multiply
    69,028.88x = 147,889.13 × 147,889.13
  4. Step 4: Simplify right side
    69,028.88x = 21,871,193,293.27
  5. Step 5: Solve for x
    x = 21,871,193,293.27/69,028.88
  6. Step 6: Final answer
    x = 316,841.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.