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Finding the Third Proportional to 144,190,494 and 223,410,349.13

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Solution

The third proportional to 144,190,494 and 223,410,349.13 is: 346,154,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,190,494 : 223,410,349.13 = 223,410,349.13 : x
  2. Step 2: Convert to fraction form
    144,190,494/223,410,349.13 = 223,410,349.13/x
  3. Step 3: Cross multiply
    144,190,494x = 223,410,349.13 × 223,410,349.13
  4. Step 4: Simplify right side
    144,190,494x = 49,912,184,096,154,392
  5. Step 5: Solve for x
    x = 49,912,184,096,154,392/144,190,494
  6. Step 6: Final answer
    x = 346,154,470.46

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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.