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Finding the Third Proportional to 156,086,593,388 and 248,364,454,229.50

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Solution

The third proportional to 156,086,593,388 and 248,364,454,229.50 is: 395,196,671,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,086,593,388 : 248,364,454,229.50 = 248,364,454,229.50 : x
  2. Step 2: Convert to fraction form
    156,086,593,388/248,364,454,229.50 = 248,364,454,229.50/x
  3. Step 3: Cross multiply
    156,086,593,388x = 248,364,454,229.50 × 248,364,454,229.50
  4. Step 4: Simplify right side
    156,086,593,388x = 61,684,902,124,717,399,343,104
  5. Step 5: Solve for x
    x = 61,684,902,124,717,399,343,104/156,086,593,388
  6. Step 6: Final answer
    x = 395,196,671,192.52

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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.