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Finding the Third Proportional to 86,790.87 and 189,801.98

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Solution

The third proportional to 86,790.87 and 189,801.98 is: 415,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,790.87 : 189,801.98 = 189,801.98 : x
  2. Step 2: Convert to fraction form
    86,790.87/189,801.98 = 189,801.98/x
  3. Step 3: Cross multiply
    86,790.87x = 189,801.98 × 189,801.98
  4. Step 4: Simplify right side
    86,790.87x = 36,024,793,272.69
  5. Step 5: Solve for x
    x = 36,024,793,272.69/86,790.87
  6. Step 6: Final answer
    x = 415,075.85

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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.