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Finding the Third Proportional to 100,957,105.69 and 219,602,941.31

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Solution

The third proportional to 100,957,105.69 and 219,602,941.31 is: 477,682,591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957,105.69 : 219,602,941.31 = 219,602,941.31 : x
  2. Step 2: Convert to fraction form
    100,957,105.69/219,602,941.31 = 219,602,941.31/x
  3. Step 3: Cross multiply
    100,957,105.69x = 219,602,941.31 × 219,602,941.31
  4. Step 4: Simplify right side
    100,957,105.69x = 48,225,451,833,101,320
  5. Step 5: Solve for x
    x = 48,225,451,833,101,320/100,957,105.69
  6. Step 6: Final answer
    x = 477,682,591.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.