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Finding the Third Proportional to 207,294.19 and 452,109.09

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Solution

The third proportional to 207,294.19 and 452,109.09 is: 986,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,294.19 : 452,109.09 = 452,109.09 : x
  2. Step 2: Convert to fraction form
    207,294.19/452,109.09 = 452,109.09/x
  3. Step 3: Cross multiply
    207,294.19x = 452,109.09 × 452,109.09
  4. Step 4: Simplify right side
    207,294.19x = 204,402,632,651.45
  5. Step 5: Solve for x
    x = 204,402,632,651.45/207,294.19
  6. Step 6: Final answer
    x = 986,050.96

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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.