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Finding the Third Proportional to 171,625,633,350 and 369,480,898,272

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Solution

The third proportional to 171,625,633,350 and 369,480,898,272 is: 795,429,747,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,625,633,350 : 369,480,898,272 = 369,480,898,272 : x
  2. Step 2: Convert to fraction form
    171,625,633,350/369,480,898,272 = 369,480,898,272/x
  3. Step 3: Cross multiply
    171,625,633,350x = 369,480,898,272 × 369,480,898,272
  4. Step 4: Simplify right side
    171,625,633,350x = 136,516,134,187,884,007,653,376
  5. Step 5: Solve for x
    x = 136,516,134,187,884,007,653,376/171,625,633,350
  6. Step 6: Final answer
    x = 795,429,747,428.72

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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.