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Finding the Third Proportional to 140,108.06 and 223,048.69

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Solution

The third proportional to 140,108.06 and 223,048.69 is: 355,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,108.06 : 223,048.69 = 223,048.69 : x
  2. Step 2: Convert to fraction form
    140,108.06/223,048.69 = 223,048.69/x
  3. Step 3: Cross multiply
    140,108.06x = 223,048.69 × 223,048.69
  4. Step 4: Simplify right side
    140,108.06x = 49,750,716,995.47
  5. Step 5: Solve for x
    x = 49,750,716,995.47/140,108.06
  6. Step 6: Final answer
    x = 355,088.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.