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Finding the Third Proportional to 107,893.13 and 237,200.63

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Solution

The third proportional to 107,893.13 and 237,200.63 is: 521,480.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,893.13 : 237,200.63 = 237,200.63 : x
  2. Step 2: Convert to fraction form
    107,893.13/237,200.63 = 237,200.63/x
  3. Step 3: Cross multiply
    107,893.13x = 237,200.63 × 237,200.63
  4. Step 4: Simplify right side
    107,893.13x = 56,264,136,500.39
  5. Step 5: Solve for x
    x = 56,264,136,500.39/107,893.13
  6. Step 6: Final answer
    x = 521,480.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.