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Finding the Third Proportional to 68,716,233 and 148,192,263

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Solution

The third proportional to 68,716,233 and 148,192,263 is: 319,588,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,716,233 : 148,192,263 = 148,192,263 : x
  2. Step 2: Convert to fraction form
    68,716,233/148,192,263 = 148,192,263/x
  3. Step 3: Cross multiply
    68,716,233x = 148,192,263 × 148,192,263
  4. Step 4: Simplify right side
    68,716,233x = 21,960,946,813,061,168
  5. Step 5: Solve for x
    x = 21,960,946,813,061,168/68,716,233
  6. Step 6: Final answer
    x = 319,588,921.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.