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Finding the Third Proportional to 136,099 and 200,260.50

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Solution

The third proportional to 136,099 and 200,260.50 is: 294,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,099 : 200,260.50 = 200,260.50 : x
  2. Step 2: Convert to fraction form
    136,099/200,260.50 = 200,260.50/x
  3. Step 3: Cross multiply
    136,099x = 200,260.50 × 200,260.50
  4. Step 4: Simplify right side
    136,099x = 40,104,267,860.25
  5. Step 5: Solve for x
    x = 40,104,267,860.25/136,099
  6. Step 6: Final answer
    x = 294,669.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.