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Finding the Third Proportional to 109,513.13 and 237,615.75

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Solution

The third proportional to 109,513.13 and 237,615.75 is: 515,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,513.13 : 237,615.75 = 237,615.75 : x
  2. Step 2: Convert to fraction form
    109,513.13/237,615.75 = 237,615.75/x
  3. Step 3: Cross multiply
    109,513.13x = 237,615.75 × 237,615.75
  4. Step 4: Simplify right side
    109,513.13x = 56,461,244,648.06
  5. Step 5: Solve for x
    x = 56,461,244,648.06/109,513.13
  6. Step 6: Final answer
    x = 515,566.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.