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Finding the Third Proportional to 100,328.63 and 133,817.06

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Solution

The third proportional to 100,328.63 and 133,817.06 is: 178,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,328.63 : 133,817.06 = 133,817.06 : x
  2. Step 2: Convert to fraction form
    100,328.63/133,817.06 = 133,817.06/x
  3. Step 3: Cross multiply
    100,328.63x = 133,817.06 × 133,817.06
  4. Step 4: Simplify right side
    100,328.63x = 17,907,006,216.13
  5. Step 5: Solve for x
    x = 17,907,006,216.13/100,328.63
  6. Step 6: Final answer
    x = 178,483.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.