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Finding the Third Proportional to 108,326.11 and 158,477.77

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Solution

The third proportional to 108,326.11 and 158,477.77 is: 231,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,326.11 : 158,477.77 = 158,477.77 : x
  2. Step 2: Convert to fraction form
    108,326.11/158,477.77 = 158,477.77/x
  3. Step 3: Cross multiply
    108,326.11x = 158,477.77 × 158,477.77
  4. Step 4: Simplify right side
    108,326.11x = 25,115,202,197.49
  5. Step 5: Solve for x
    x = 25,115,202,197.49/108,326.11
  6. Step 6: Final answer
    x = 231,848.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.