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Finding the Third Proportional to 215,101.69 and 463,879.69

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Solution

The third proportional to 215,101.69 and 463,879.69 is: 1,000,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,101.69 : 463,879.69 = 463,879.69 : x
  2. Step 2: Convert to fraction form
    215,101.69/463,879.69 = 463,879.69/x
  3. Step 3: Cross multiply
    215,101.69x = 463,879.69 × 463,879.69
  4. Step 4: Simplify right side
    215,101.69x = 215,184,364,475.10
  5. Step 5: Solve for x
    x = 215,184,364,475.10/215,101.69
  6. Step 6: Final answer
    x = 1,000,384.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.