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Finding the Third Proportional to 144,190,497 and 223,410,354

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Solution

The third proportional to 144,190,497 and 223,410,354 is: 346,154,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,190,497 : 223,410,354 = 223,410,354 : x
  2. Step 2: Convert to fraction form
    144,190,497/223,410,354 = 223,410,354/x
  3. Step 3: Cross multiply
    144,190,497x = 223,410,354 × 223,410,354
  4. Step 4: Simplify right side
    144,190,497x = 49,912,186,274,405,312
  5. Step 5: Solve for x
    x = 49,912,186,274,405,312/144,190,497
  6. Step 6: Final answer
    x = 346,154,478.37

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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.