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Finding the Third Proportional to 171,625,633,348 and 369,480,898,268

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Solution

The third proportional to 171,625,633,348 and 369,480,898,268 is: 795,429,747,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,625,633,348 : 369,480,898,268 = 369,480,898,268 : x
  2. Step 2: Convert to fraction form
    171,625,633,348/369,480,898,268 = 369,480,898,268/x
  3. Step 3: Cross multiply
    171,625,633,348x = 369,480,898,268 × 369,480,898,268
  4. Step 4: Simplify right side
    171,625,633,348x = 136,516,134,184,928,164,184,064
  5. Step 5: Solve for x
    x = 136,516,134,184,928,164,184,064/171,625,633,348
  6. Step 6: Final answer
    x = 795,429,747,420.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.