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Finding the Third Proportional to 144,190,496 and 223,410,352

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Solution

The third proportional to 144,190,496 and 223,410,352 is: 346,154,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,190,496 : 223,410,352 = 223,410,352 : x
  2. Step 2: Convert to fraction form
    144,190,496/223,410,352 = 223,410,352/x
  3. Step 3: Cross multiply
    144,190,496x = 223,410,352 × 223,410,352
  4. Step 4: Simplify right side
    144,190,496x = 49,912,185,380,763,904
  5. Step 5: Solve for x
    x = 49,912,185,380,763,904/144,190,496
  6. Step 6: Final answer
    x = 346,154,474.57

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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.