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Finding the Third Proportional to 133,080.63 and 201,208.72

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Solution

The third proportional to 133,080.63 and 201,208.72 is: 304,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080.63 : 201,208.72 = 201,208.72 : x
  2. Step 2: Convert to fraction form
    133,080.63/201,208.72 = 201,208.72/x
  3. Step 3: Cross multiply
    133,080.63x = 201,208.72 × 201,208.72
  4. Step 4: Simplify right side
    133,080.63x = 40,484,948,894.00
  5. Step 5: Solve for x
    x = 40,484,948,894.00/133,080.63
  6. Step 6: Final answer
    x = 304,213.69

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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.