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Finding the Third Proportional to 110,010,082.50 and 233,133,741

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Solution

The third proportional to 110,010,082.50 and 233,133,741 is: 494,057,816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,010,082.50 : 233,133,741 = 233,133,741 : x
  2. Step 2: Convert to fraction form
    110,010,082.50/233,133,741 = 233,133,741/x
  3. Step 3: Cross multiply
    110,010,082.50x = 233,133,741 × 233,133,741
  4. Step 4: Simplify right side
    110,010,082.50x = 54,351,341,192,655,080
  5. Step 5: Solve for x
    x = 54,351,341,192,655,080/110,010,082.50
  6. Step 6: Final answer
    x = 494,057,816.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.