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Finding the Third Proportional to 77,075,772.75 and 104,981,923.13

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Solution

The third proportional to 77,075,772.75 and 104,981,923.13 is: 142,991,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075,772.75 : 104,981,923.13 = 104,981,923.13 : x
  2. Step 2: Convert to fraction form
    77,075,772.75/104,981,923.13 = 104,981,923.13/x
  3. Step 3: Cross multiply
    77,075,772.75x = 104,981,923.13 × 104,981,923.13
  4. Step 4: Simplify right side
    77,075,772.75x = 11,021,204,183,023,410
  5. Step 5: Solve for x
    x = 11,021,204,183,023,410/77,075,772.75
  6. Step 6: Final answer
    x = 142,991,809.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.