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Finding the Third Proportional to 221,349.96 and 469,300.61

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Solution

The third proportional to 221,349.96 and 469,300.61 is: 994,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,349.96 : 469,300.61 = 469,300.61 : x
  2. Step 2: Convert to fraction form
    221,349.96/469,300.61 = 469,300.61/x
  3. Step 3: Cross multiply
    221,349.96x = 469,300.61 × 469,300.61
  4. Step 4: Simplify right side
    221,349.96x = 220,243,065,640.47
  5. Step 5: Solve for x
    x = 220,243,065,640.47/221,349.96
  6. Step 6: Final answer
    x = 994,999.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.