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Finding the Third Proportional to 156,086,593,454.25 and 248,364,454,311

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Solution

The third proportional to 156,086,593,454.25 and 248,364,454,311 is: 395,196,671,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,086,593,454.25 : 248,364,454,311 = 248,364,454,311 : x
  2. Step 2: Convert to fraction form
    156,086,593,454.25/248,364,454,311 = 248,364,454,311/x
  3. Step 3: Cross multiply
    156,086,593,454.25x = 248,364,454,311 × 248,364,454,311
  4. Step 4: Simplify right side
    156,086,593,454.25x = 61,684,902,165,200,804,773,888
  5. Step 5: Solve for x
    x = 61,684,902,165,200,804,773,888/156,086,593,454.25
  6. Step 6: Final answer
    x = 395,196,671,284.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.