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Finding the Third Proportional to 95,459.63 and 188,509.50

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Solution

The third proportional to 95,459.63 and 188,509.50 is: 372,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,459.63 : 188,509.50 = 188,509.50 : x
  2. Step 2: Convert to fraction form
    95,459.63/188,509.50 = 188,509.50/x
  3. Step 3: Cross multiply
    95,459.63x = 188,509.50 × 188,509.50
  4. Step 4: Simplify right side
    95,459.63x = 35,535,831,590.25
  5. Step 5: Solve for x
    x = 35,535,831,590.25/95,459.63
  6. Step 6: Final answer
    x = 372,260.33

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.