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Finding the Third Proportional to 110,631,408 and 238,988,640

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Solution

The third proportional to 110,631,408 and 238,988,640 is: 516,269,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,631,408 : 238,988,640 = 238,988,640 : x
  2. Step 2: Convert to fraction form
    110,631,408/238,988,640 = 238,988,640/x
  3. Step 3: Cross multiply
    110,631,408x = 238,988,640 × 238,988,640
  4. Step 4: Simplify right side
    110,631,408x = 57,115,570,049,049,600
  5. Step 5: Solve for x
    x = 57,115,570,049,049,600/110,631,408
  6. Step 6: Final answer
    x = 516,269,033.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.