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Finding the Third Proportional to 107,715 and 230,090

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Solution

The third proportional to 107,715 and 230,090 is: 491,495.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,715 : 230,090 = 230,090 : x
  2. Step 2: Convert to fraction form
    107,715/230,090 = 230,090/x
  3. Step 3: Cross multiply
    107,715x = 230,090 × 230,090
  4. Step 4: Simplify right side
    107,715x = 52,941,408,100
  5. Step 5: Solve for x
    x = 52,941,408,100/107,715
  6. Step 6: Final answer
    x = 491,495.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.