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Finding the Third Proportional to 215,902.13 and 456,715.69

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Solution

The third proportional to 215,902.13 and 456,715.69 is: 966,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,902.13 : 456,715.69 = 456,715.69 : x
  2. Step 2: Convert to fraction form
    215,902.13/456,715.69 = 456,715.69/x
  3. Step 3: Cross multiply
    215,902.13x = 456,715.69 × 456,715.69
  4. Step 4: Simplify right side
    215,902.13x = 208,589,219,208.60
  5. Step 5: Solve for x
    x = 208,589,219,208.60/215,902.13
  6. Step 6: Final answer
    x = 966,128.61

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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.