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Finding the Third Proportional to 236,254,678 and 340,334,081

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Solution

The third proportional to 236,254,678 and 340,334,081 is: 490,264,521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,254,678 : 340,334,081 = 340,334,081 : x
  2. Step 2: Convert to fraction form
    236,254,678/340,334,081 = 340,334,081/x
  3. Step 3: Cross multiply
    236,254,678x = 340,334,081 × 340,334,081
  4. Step 4: Simplify right side
    236,254,678x = 115,827,286,690,114,560
  5. Step 5: Solve for x
    x = 115,827,286,690,114,560/236,254,678
  6. Step 6: Final answer
    x = 490,264,521.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.