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Finding the Third Proportional to 84,284.93 and 180,564.19

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Solution

The third proportional to 84,284.93 and 180,564.19 is: 386,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,284.93 : 180,564.19 = 180,564.19 : x
  2. Step 2: Convert to fraction form
    84,284.93/180,564.19 = 180,564.19/x
  3. Step 3: Cross multiply
    84,284.93x = 180,564.19 × 180,564.19
  4. Step 4: Simplify right side
    84,284.93x = 32,603,425,807.54
  5. Step 5: Solve for x
    x = 32,603,425,807.54/84,284.93
  6. Step 6: Final answer
    x = 386,823.91

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