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Finding the Third Proportional to 211,896.63 and 500,108.13

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Solution

The third proportional to 211,896.63 and 500,108.13 is: 1,180,330.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,896.63 : 500,108.13 = 500,108.13 : x
  2. Step 2: Convert to fraction form
    211,896.63/500,108.13 = 500,108.13/x
  3. Step 3: Cross multiply
    211,896.63x = 500,108.13 × 500,108.13
  4. Step 4: Simplify right side
    211,896.63x = 250,108,136,691.02
  5. Step 5: Solve for x
    x = 250,108,136,691.02/211,896.63
  6. Step 6: Final answer
    x = 1,180,330.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.