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Finding the Third Proportional to 110,781,118 and 256,438,229

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Solution

The third proportional to 110,781,118 and 256,438,229 is: 593,608,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,781,118 : 256,438,229 = 256,438,229 : x
  2. Step 2: Convert to fraction form
    110,781,118/256,438,229 = 256,438,229/x
  3. Step 3: Cross multiply
    110,781,118x = 256,438,229 × 256,438,229
  4. Step 4: Simplify right side
    110,781,118x = 65,760,565,292,656,440
  5. Step 5: Solve for x
    x = 65,760,565,292,656,440/110,781,118
  6. Step 6: Final answer
    x = 593,608,066.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.