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Finding the Third Proportional to 77,075,794.50 and 104,981,951.25

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Solution

The third proportional to 77,075,794.50 and 104,981,951.25 is: 142,991,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,075,794.50 : 104,981,951.25 = 104,981,951.25 : x
  2. Step 2: Convert to fraction form
    77,075,794.50/104,981,951.25 = 104,981,951.25/x
  3. Step 3: Cross multiply
    77,075,794.50x = 104,981,951.25 × 104,981,951.25
  4. Step 4: Simplify right side
    77,075,794.50x = 11,021,210,088,257,376
  5. Step 5: Solve for x
    x = 11,021,210,088,257,376/77,075,794.50
  6. Step 6: Final answer
    x = 142,991,845.36

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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.