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Finding the Third Proportional to 172,181,935,343 and 242,364,449,068

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Solution

The third proportional to 172,181,935,343 and 242,364,449,068 is: 341,153,826,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,181,935,343 : 242,364,449,068 = 242,364,449,068 : x
  2. Step 2: Convert to fraction form
    172,181,935,343/242,364,449,068 = 242,364,449,068/x
  3. Step 3: Cross multiply
    172,181,935,343x = 242,364,449,068 × 242,364,449,068
  4. Step 4: Simplify right side
    172,181,935,343x = 58,740,526,172,035,163,881,472
  5. Step 5: Solve for x
    x = 58,740,526,172,035,163,881,472/172,181,935,343
  6. Step 6: Final answer
    x = 341,153,826,939.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.