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Finding the Third Proportional to 107,983.13 and 224,258.63

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Solution

The third proportional to 107,983.13 and 224,258.63 is: 465,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,983.13 : 224,258.63 = 224,258.63 : x
  2. Step 2: Convert to fraction form
    107,983.13/224,258.63 = 224,258.63/x
  3. Step 3: Cross multiply
    107,983.13x = 224,258.63 × 224,258.63
  4. Step 4: Simplify right side
    107,983.13x = 50,291,930,886.89
  5. Step 5: Solve for x
    x = 50,291,930,886.89/107,983.13
  6. Step 6: Final answer
    x = 465,738.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.