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Finding the Third Proportional to 98,698.50 and 140,666.63

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Solution

The third proportional to 98,698.50 and 140,666.63 is: 200,480.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,698.50 : 140,666.63 = 140,666.63 : x
  2. Step 2: Convert to fraction form
    98,698.50/140,666.63 = 140,666.63/x
  3. Step 3: Cross multiply
    98,698.50x = 140,666.63 × 140,666.63
  4. Step 4: Simplify right side
    98,698.50x = 19,787,099,388.89
  5. Step 5: Solve for x
    x = 19,787,099,388.89/98,698.50
  6. Step 6: Final answer
    x = 200,480.24

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.