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Finding the Third Proportional to 110,422,786 and 239,248,292

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Solution

The third proportional to 110,422,786 and 239,248,292 is: 518,368,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,422,786 : 239,248,292 = 239,248,292 : x
  2. Step 2: Convert to fraction form
    110,422,786/239,248,292 = 239,248,292/x
  3. Step 3: Cross multiply
    110,422,786x = 239,248,292 × 239,248,292
  4. Step 4: Simplify right side
    110,422,786x = 57,239,745,224,917,264
  5. Step 5: Solve for x
    x = 57,239,745,224,917,264/110,422,786
  6. Step 6: Final answer
    x = 518,368,964.40

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Why These Related Problems?

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