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Finding the Third Proportional to 46,807.50 and 100,311

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Solution

The third proportional to 46,807.50 and 100,311 is: 214,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,807.50 : 100,311 = 100,311 : x
  2. Step 2: Convert to fraction form
    46,807.50/100,311 = 100,311/x
  3. Step 3: Cross multiply
    46,807.50x = 100,311 × 100,311
  4. Step 4: Simplify right side
    46,807.50x = 10,062,296,721
  5. Step 5: Solve for x
    x = 10,062,296,721/46,807.50
  6. Step 6: Final answer
    x = 214,971.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.