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Finding the Third Proportional to 39,457.13 and 86,307.19

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Solution

The third proportional to 39,457.13 and 86,307.19 is: 188,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,457.13 : 86,307.19 = 86,307.19 : x
  2. Step 2: Convert to fraction form
    39,457.13/86,307.19 = 86,307.19/x
  3. Step 3: Cross multiply
    39,457.13x = 86,307.19 × 86,307.19
  4. Step 4: Simplify right side
    39,457.13x = 7,448,930,614.16
  5. Step 5: Solve for x
    x = 7,448,930,614.16/39,457.13
  6. Step 6: Final answer
    x = 188,785.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.