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Finding the Third Proportional to 108,939.94 and 235,087.31

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Solution

The third proportional to 108,939.94 and 235,087.31 is: 507,307.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,939.94 : 235,087.31 = 235,087.31 : x
  2. Step 2: Convert to fraction form
    108,939.94/235,087.31 = 235,087.31/x
  3. Step 3: Cross multiply
    108,939.94x = 235,087.31 × 235,087.31
  4. Step 4: Simplify right side
    108,939.94x = 55,266,044,498.47
  5. Step 5: Solve for x
    x = 55,266,044,498.47/108,939.94
  6. Step 6: Final answer
    x = 507,307.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.