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Finding the Third Proportional to 108,948.94 and 235,404.09

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Solution

The third proportional to 108,948.94 and 235,404.09 is: 508,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,948.94 : 235,404.09 = 235,404.09 : x
  2. Step 2: Convert to fraction form
    108,948.94/235,404.09 = 235,404.09/x
  3. Step 3: Cross multiply
    108,948.94x = 235,404.09 × 235,404.09
  4. Step 4: Simplify right side
    108,948.94x = 55,415,087,354.26
  5. Step 5: Solve for x
    x = 55,415,087,354.26/108,948.94
  6. Step 6: Final answer
    x = 508,633.57

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Why These Related Problems?

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