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Finding the Third Proportional to 193,516.88 and 298,903.88

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Solution

The third proportional to 193,516.88 and 298,903.88 is: 461,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,516.88 : 298,903.88 = 298,903.88 : x
  2. Step 2: Convert to fraction form
    193,516.88/298,903.88 = 298,903.88/x
  3. Step 3: Cross multiply
    193,516.88x = 298,903.88 × 298,903.88
  4. Step 4: Simplify right side
    193,516.88x = 89,343,526,490.02
  5. Step 5: Solve for x
    x = 89,343,526,490.02/193,516.88
  6. Step 6: Final answer
    x = 461,683.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.