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Finding the Third Proportional to 109,054.88 and 235,295.25

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Solution

The third proportional to 109,054.88 and 235,295.25 is: 507,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,054.88 : 235,295.25 = 235,295.25 : x
  2. Step 2: Convert to fraction form
    109,054.88/235,295.25 = 235,295.25/x
  3. Step 3: Cross multiply
    109,054.88x = 235,295.25 × 235,295.25
  4. Step 4: Simplify right side
    109,054.88x = 55,363,854,672.56
  5. Step 5: Solve for x
    x = 55,363,854,672.56/109,054.88
  6. Step 6: Final answer
    x = 507,669.69

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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.