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Finding the Third Proportional to 236,254,676 and 340,334,078

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Solution

The third proportional to 236,254,676 and 340,334,078 is: 490,264,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,254,676 : 340,334,078 = 340,334,078 : x
  2. Step 2: Convert to fraction form
    236,254,676/340,334,078 = 340,334,078/x
  3. Step 3: Cross multiply
    236,254,676x = 340,334,078 × 340,334,078
  4. Step 4: Simplify right side
    236,254,676x = 115,827,284,648,110,080
  5. Step 5: Solve for x
    x = 115,827,284,648,110,080/236,254,676
  6. Step 6: Final answer
    x = 490,264,517.13

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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.