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Finding the Third Proportional to 91,703 and 193,359.88

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Solution

The third proportional to 91,703 and 193,359.88 is: 407,707.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,703 : 193,359.88 = 193,359.88 : x
  2. Step 2: Convert to fraction form
    91,703/193,359.88 = 193,359.88/x
  3. Step 3: Cross multiply
    91,703x = 193,359.88 × 193,359.88
  4. Step 4: Simplify right side
    91,703x = 37,388,041,260.02
  5. Step 5: Solve for x
    x = 37,388,041,260.02/91,703
  6. Step 6: Final answer
    x = 407,707.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.