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Finding the Third Proportional to 53,262,900 and 114,615,504

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Solution

The third proportional to 53,262,900 and 114,615,504 is: 246,639,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,262,900 : 114,615,504 = 114,615,504 : x
  2. Step 2: Convert to fraction form
    53,262,900/114,615,504 = 114,615,504/x
  3. Step 3: Cross multiply
    53,262,900x = 114,615,504 × 114,615,504
  4. Step 4: Simplify right side
    53,262,900x = 13,136,713,757,174,016
  5. Step 5: Solve for x
    x = 13,136,713,757,174,016/53,262,900
  6. Step 6: Final answer
    x = 246,639,100.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.