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Finding the Third Proportional to 77,725,437.75 and 166,212,553.50

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Solution

The third proportional to 77,725,437.75 and 166,212,553.50 is: 355,438,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,725,437.75 : 166,212,553.50 = 166,212,553.50 : x
  2. Step 2: Convert to fraction form
    77,725,437.75/166,212,553.50 = 166,212,553.50/x
  3. Step 3: Cross multiply
    77,725,437.75x = 166,212,553.50 × 166,212,553.50
  4. Step 4: Simplify right side
    77,725,437.75x = 27,626,612,940,990,364
  5. Step 5: Solve for x
    x = 27,626,612,940,990,364/77,725,437.75
  6. Step 6: Final answer
    x = 355,438,499.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.