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Finding the Third Proportional to 89,703.25 and 211,455.63

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Solution

The third proportional to 89,703.25 and 211,455.63 is: 498,459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,703.25 : 211,455.63 = 211,455.63 : x
  2. Step 2: Convert to fraction form
    89,703.25/211,455.63 = 211,455.63/x
  3. Step 3: Cross multiply
    89,703.25x = 211,455.63 × 211,455.63
  4. Step 4: Simplify right side
    89,703.25x = 44,713,481,344.14
  5. Step 5: Solve for x
    x = 44,713,481,344.14/89,703.25
  6. Step 6: Final answer
    x = 498,459.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.