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Finding the Third Proportional to 89,265.48 and 210,362.06

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Solution

The third proportional to 89,265.48 and 210,362.06 is: 495,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,265.48 : 210,362.06 = 210,362.06 : x
  2. Step 2: Convert to fraction form
    89,265.48/210,362.06 = 210,362.06/x
  3. Step 3: Cross multiply
    89,265.48x = 210,362.06 × 210,362.06
  4. Step 4: Simplify right side
    89,265.48x = 44,252,197,339.25
  5. Step 5: Solve for x
    x = 44,252,197,339.25/89,265.48
  6. Step 6: Final answer
    x = 495,736.95

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Why These Related Problems?

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