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Finding the Third Proportional to 52,760,986 and 114,546,019

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Solution

The third proportional to 52,760,986 and 114,546,019 is: 248,683,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,760,986 : 114,546,019 = 114,546,019 : x
  2. Step 2: Convert to fraction form
    52,760,986/114,546,019 = 114,546,019/x
  3. Step 3: Cross multiply
    52,760,986x = 114,546,019 × 114,546,019
  4. Step 4: Simplify right side
    52,760,986x = 13,120,790,468,748,360
  5. Step 5: Solve for x
    x = 13,120,790,468,748,360/52,760,986
  6. Step 6: Final answer
    x = 248,683,572.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.