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Finding the Third Proportional to 134,821.13 and 293,771.81

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Solution

The third proportional to 134,821.13 and 293,771.81 is: 640,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,821.13 : 293,771.81 = 293,771.81 : x
  2. Step 2: Convert to fraction form
    134,821.13/293,771.81 = 293,771.81/x
  3. Step 3: Cross multiply
    134,821.13x = 293,771.81 × 293,771.81
  4. Step 4: Simplify right side
    134,821.13x = 86,301,877,819.54
  5. Step 5: Solve for x
    x = 86,301,877,819.54/134,821.13
  6. Step 6: Final answer
    x = 640,121.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.