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Finding the Third Proportional to 129,009 and 199,345.50

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Solution

The third proportional to 129,009 and 199,345.50 is: 308,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,009 : 199,345.50 = 199,345.50 : x
  2. Step 2: Convert to fraction form
    129,009/199,345.50 = 199,345.50/x
  3. Step 3: Cross multiply
    129,009x = 199,345.50 × 199,345.50
  4. Step 4: Simplify right side
    129,009x = 39,738,628,370.25
  5. Step 5: Solve for x
    x = 39,738,628,370.25/129,009
  6. Step 6: Final answer
    x = 308,029.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.