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Finding the Third Proportional to 103,409.50 and 151,009

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Solution

The third proportional to 103,409.50 and 151,009 is: 220,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,409.50 : 151,009 = 151,009 : x
  2. Step 2: Convert to fraction form
    103,409.50/151,009 = 151,009/x
  3. Step 3: Cross multiply
    103,409.50x = 151,009 × 151,009
  4. Step 4: Simplify right side
    103,409.50x = 22,803,718,081
  5. Step 5: Solve for x
    x = 22,803,718,081/103,409.50
  6. Step 6: Final answer
    x = 220,518.60

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.