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Finding the Third Proportional to 130,963.50 and 193,990.50

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Solution

The third proportional to 130,963.50 and 193,990.50 is: 287,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,963.50 : 193,990.50 = 193,990.50 : x
  2. Step 2: Convert to fraction form
    130,963.50/193,990.50 = 193,990.50/x
  3. Step 3: Cross multiply
    130,963.50x = 193,990.50 × 193,990.50
  4. Step 4: Simplify right side
    130,963.50x = 37,632,314,090.25
  5. Step 5: Solve for x
    x = 37,632,314,090.25/130,963.50
  6. Step 6: Final answer
    x = 287,349.64

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.