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Finding the Third Proportional to 86,198,836 and 191,529,544

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Solution

The third proportional to 86,198,836 and 191,529,544 is: 425,569,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,198,836 : 191,529,544 = 191,529,544 : x
  2. Step 2: Convert to fraction form
    86,198,836/191,529,544 = 191,529,544/x
  3. Step 3: Cross multiply
    86,198,836x = 191,529,544 × 191,529,544
  4. Step 4: Simplify right side
    86,198,836x = 36,683,566,224,847,936
  5. Step 5: Solve for x
    x = 36,683,566,224,847,936/86,198,836
  6. Step 6: Final answer
    x = 425,569,159.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.