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Finding the Third Proportional to 144,192,476 and 223,413,150

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Solution

The third proportional to 144,192,476 and 223,413,150 is: 346,158,391.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,192,476 : 223,413,150 = 223,413,150 : x
  2. Step 2: Convert to fraction form
    144,192,476/223,413,150 = 223,413,150/x
  3. Step 3: Cross multiply
    144,192,476x = 223,413,150 × 223,413,150
  4. Step 4: Simplify right side
    144,192,476x = 49,913,435,592,922,496
  5. Step 5: Solve for x
    x = 49,913,435,592,922,496/144,192,476
  6. Step 6: Final answer
    x = 346,158,391.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.