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Finding the Third Proportional to 89,437.50 and 189,536.63

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Solution

The third proportional to 89,437.50 and 189,536.63 is: 401,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,437.50 : 189,536.63 = 189,536.63 : x
  2. Step 2: Convert to fraction form
    89,437.50/189,536.63 = 189,536.63/x
  3. Step 3: Cross multiply
    89,437.50x = 189,536.63 × 189,536.63
  4. Step 4: Simplify right side
    89,437.50x = 35,924,132,216.39
  5. Step 5: Solve for x
    x = 35,924,132,216.39/89,437.50
  6. Step 6: Final answer
    x = 401,667.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.