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Finding the Third Proportional to 89,703.75 and 211,456.88

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Solution

The third proportional to 89,703.75 and 211,456.88 is: 498,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,703.75 : 211,456.88 = 211,456.88 : x
  2. Step 2: Convert to fraction form
    89,703.75/211,456.88 = 211,456.88/x
  3. Step 3: Cross multiply
    89,703.75x = 211,456.88 × 211,456.88
  4. Step 4: Simplify right side
    89,703.75x = 44,714,009,984.77
  5. Step 5: Solve for x
    x = 44,714,009,984.77/89,703.75
  6. Step 6: Final answer
    x = 498,463.11

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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.