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Finding the Third Proportional to 109,783.50 and 244,809.66

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Solution

The third proportional to 109,783.50 and 244,809.66 is: 545,908.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,783.50 : 244,809.66 = 244,809.66 : x
  2. Step 2: Convert to fraction form
    109,783.50/244,809.66 = 244,809.66/x
  3. Step 3: Cross multiply
    109,783.50x = 244,809.66 × 244,809.66
  4. Step 4: Simplify right side
    109,783.50x = 59,931,767,793.24
  5. Step 5: Solve for x
    x = 59,931,767,793.24/109,783.50
  6. Step 6: Final answer
    x = 545,908.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.