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Finding the Third Proportional to 133,097.75 and 201,032.88

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Solution

The third proportional to 133,097.75 and 201,032.88 is: 303,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097.75 : 201,032.88 = 201,032.88 : x
  2. Step 2: Convert to fraction form
    133,097.75/201,032.88 = 201,032.88/x
  3. Step 3: Cross multiply
    133,097.75x = 201,032.88 × 201,032.88
  4. Step 4: Simplify right side
    133,097.75x = 40,414,216,830.77
  5. Step 5: Solve for x
    x = 40,414,216,830.77/133,097.75
  6. Step 6: Final answer
    x = 303,643.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.