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Finding the Third Proportional to 100,593,023,857.50 and 204,141,922,557

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Solution

The third proportional to 100,593,023,857.50 and 204,141,922,557 is: 414,282,451,676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593,023,857.50 : 204,141,922,557 = 204,141,922,557 : x
  2. Step 2: Convert to fraction form
    100,593,023,857.50/204,141,922,557 = 204,141,922,557/x
  3. Step 3: Cross multiply
    100,593,023,857.50x = 204,141,922,557 × 204,141,922,557
  4. Step 4: Simplify right side
    100,593,023,857.50x = 41,673,924,545,268,185,825,280
  5. Step 5: Solve for x
    x = 41,673,924,545,268,185,825,280/100,593,023,857.50
  6. Step 6: Final answer
    x = 414,282,451,676.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.