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Finding the Third Proportional to 110,631,240 and 238,988,256

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Solution

The third proportional to 110,631,240 and 238,988,256 is: 516,268,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,631,240 : 238,988,256 = 238,988,256 : x
  2. Step 2: Convert to fraction form
    110,631,240/238,988,256 = 238,988,256/x
  3. Step 3: Cross multiply
    110,631,240x = 238,988,256 × 238,988,256
  4. Step 4: Simplify right side
    110,631,240x = 57,115,386,505,921,536
  5. Step 5: Solve for x
    x = 57,115,386,505,921,536/110,631,240
  6. Step 6: Final answer
    x = 516,268,158.13

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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.