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Finding the Third Proportional to 99,036,669,387 and 217,529,359,278

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Solution

The third proportional to 99,036,669,387 and 217,529,359,278 is: 477,792,947,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036,669,387 : 217,529,359,278 = 217,529,359,278 : x
  2. Step 2: Convert to fraction form
    99,036,669,387/217,529,359,278 = 217,529,359,278/x
  3. Step 3: Cross multiply
    99,036,669,387x = 217,529,359,278 × 217,529,359,278
  4. Step 4: Simplify right side
    99,036,669,387x = 47,319,022,147,897,206,505,472
  5. Step 5: Solve for x
    x = 47,319,022,147,897,206,505,472/99,036,669,387
  6. Step 6: Final answer
    x = 477,792,947,206.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.