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Finding the Third Proportional to 189,305,546.06 and 290,796,490.13

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Solution

The third proportional to 189,305,546.06 and 290,796,490.13 is: 446,699,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,305,546.06 : 290,796,490.13 = 290,796,490.13 : x
  2. Step 2: Convert to fraction form
    189,305,546.06/290,796,490.13 = 290,796,490.13/x
  3. Step 3: Cross multiply
    189,305,546.06x = 290,796,490.13 × 290,796,490.13
  4. Step 4: Simplify right side
    189,305,546.06x = 84,562,598,669,019,216
  5. Step 5: Solve for x
    x = 84,562,598,669,019,216/189,305,546.06
  6. Step 6: Final answer
    x = 446,699,002.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.