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Finding the Third Proportional to 119,642,107.50 and 259,703,274

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Solution

The third proportional to 119,642,107.50 and 259,703,274 is: 563,729,542.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642,107.50 : 259,703,274 = 259,703,274 : x
  2. Step 2: Convert to fraction form
    119,642,107.50/259,703,274 = 259,703,274/x
  3. Step 3: Cross multiply
    119,642,107.50x = 259,703,274 × 259,703,274
  4. Step 4: Simplify right side
    119,642,107.50x = 67,445,790,526,319,072
  5. Step 5: Solve for x
    x = 67,445,790,526,319,072/119,642,107.50
  6. Step 6: Final answer
    x = 563,729,542.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.