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Finding the Third Proportional to 133,191.84 and 203,111.93

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Solution

The third proportional to 133,191.84 and 203,111.93 is: 309,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,191.84 : 203,111.93 = 203,111.93 : x
  2. Step 2: Convert to fraction form
    133,191.84/203,111.93 = 203,111.93/x
  3. Step 3: Cross multiply
    133,191.84x = 203,111.93 × 203,111.93
  4. Step 4: Simplify right side
    133,191.84x = 41,254,455,981.38
  5. Step 5: Solve for x
    x = 41,254,455,981.38/133,191.84
  6. Step 6: Final answer
    x = 309,737.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.