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Finding the Third Proportional to 46,939.50 and 97,777.13

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Solution

The third proportional to 46,939.50 and 97,777.13 is: 203,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,939.50 : 97,777.13 = 97,777.13 : x
  2. Step 2: Convert to fraction form
    46,939.50/97,777.13 = 97,777.13/x
  3. Step 3: Cross multiply
    46,939.50x = 97,777.13 × 97,777.13
  4. Step 4: Simplify right side
    46,939.50x = 9,560,366,173.27
  5. Step 5: Solve for x
    x = 9,560,366,173.27/46,939.50
  6. Step 6: Final answer
    x = 203,674.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.