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Finding the Third Proportional to 102,427,556.75 and 225,285,490.75

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Solution

The third proportional to 102,427,556.75 and 225,285,490.75 is: 495,506,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,427,556.75 : 225,285,490.75 = 225,285,490.75 : x
  2. Step 2: Convert to fraction form
    102,427,556.75/225,285,490.75 = 225,285,490.75/x
  3. Step 3: Cross multiply
    102,427,556.75x = 225,285,490.75 × 225,285,490.75
  4. Step 4: Simplify right side
    102,427,556.75x = 50,753,552,342,468,336
  5. Step 5: Solve for x
    x = 50,753,552,342,468,336/102,427,556.75
  6. Step 6: Final answer
    x = 495,506,814.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.