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Finding the Third Proportional to 175,747,655,259 and 381,455,828,343

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Solution

The third proportional to 175,747,655,259 and 381,455,828,343 is: 827,940,200,752.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,747,655,259 : 381,455,828,343 = 381,455,828,343 : x
  2. Step 2: Convert to fraction form
    175,747,655,259/381,455,828,343 = 381,455,828,343/x
  3. Step 3: Cross multiply
    175,747,655,259x = 381,455,828,343 × 381,455,828,343
  4. Step 4: Simplify right side
    175,747,655,259x = 145,508,548,976,844,275,187,712
  5. Step 5: Solve for x
    x = 145,508,548,976,844,275,187,712/175,747,655,259
  6. Step 6: Final answer
    x = 827,940,200,752.08

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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.