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Finding the Third Proportional to 120,206.63 and 190,344.19

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Solution

The third proportional to 120,206.63 and 190,344.19 is: 301,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,206.63 : 190,344.19 = 190,344.19 : x
  2. Step 2: Convert to fraction form
    120,206.63/190,344.19 = 190,344.19/x
  3. Step 3: Cross multiply
    120,206.63x = 190,344.19 × 190,344.19
  4. Step 4: Simplify right side
    120,206.63x = 36,230,909,715.04
  5. Step 5: Solve for x
    x = 36,230,909,715.04/120,206.63
  6. Step 6: Final answer
    x = 301,405.27

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.