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Finding the Third Proportional to 114,494,908,986 and 251,702,344,163.25

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Solution

The third proportional to 114,494,908,986 and 251,702,344,163.25 is: 553,335,258,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,494,908,986 : 251,702,344,163.25 = 251,702,344,163.25 : x
  2. Step 2: Convert to fraction form
    114,494,908,986/251,702,344,163.25 = 251,702,344,163.25/x
  3. Step 3: Cross multiply
    114,494,908,986x = 251,702,344,163.25 × 251,702,344,163.25
  4. Step 4: Simplify right side
    114,494,908,986x = 63,354,070,057,275,151,613,952
  5. Step 5: Solve for x
    x = 63,354,070,057,275,151,613,952/114,494,908,986
  6. Step 6: Final answer
    x = 553,335,258,470.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.