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Finding the Third Proportional to 88,700 and 193,964

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Solution

The third proportional to 88,700 and 193,964 is: 424,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,700 : 193,964 = 193,964 : x
  2. Step 2: Convert to fraction form
    88,700/193,964 = 193,964/x
  3. Step 3: Cross multiply
    88,700x = 193,964 × 193,964
  4. Step 4: Simplify right side
    88,700x = 37,622,033,296
  5. Step 5: Solve for x
    x = 37,622,033,296/88,700
  6. Step 6: Final answer
    x = 424,149.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.