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Finding the Third Proportional to 49,692 and 108,307.50

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Solution

The third proportional to 49,692 and 108,307.50 is: 236,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,692 : 108,307.50 = 108,307.50 : x
  2. Step 2: Convert to fraction form
    49,692/108,307.50 = 108,307.50/x
  3. Step 3: Cross multiply
    49,692x = 108,307.50 × 108,307.50
  4. Step 4: Simplify right side
    49,692x = 11,730,514,556.25
  5. Step 5: Solve for x
    x = 11,730,514,556.25/49,692
  6. Step 6: Final answer
    x = 236,064.45

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.