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Finding the Third Proportional to 69,078.45 and 151,307.37

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Solution

The third proportional to 69,078.45 and 151,307.37 is: 331,419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078.45 : 151,307.37 = 151,307.37 : x
  2. Step 2: Convert to fraction form
    69,078.45/151,307.37 = 151,307.37/x
  3. Step 3: Cross multiply
    69,078.45x = 151,307.37 × 151,307.37
  4. Step 4: Simplify right side
    69,078.45x = 22,893,919,365.21
  5. Step 5: Solve for x
    x = 22,893,919,365.21/69,078.45
  6. Step 6: Final answer
    x = 331,419.15

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