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Finding the Third Proportional to 103,989 and 167,467.50

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Solution

The third proportional to 103,989 and 167,467.50 is: 269,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,989 : 167,467.50 = 167,467.50 : x
  2. Step 2: Convert to fraction form
    103,989/167,467.50 = 167,467.50/x
  3. Step 3: Cross multiply
    103,989x = 167,467.50 × 167,467.50
  4. Step 4: Simplify right side
    103,989x = 28,045,363,556.25
  5. Step 5: Solve for x
    x = 28,045,363,556.25/103,989
  6. Step 6: Final answer
    x = 269,695.48

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.