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Finding the Third Proportional to 188,808,651 and 445,075,600.50

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Solution

The third proportional to 188,808,651 and 445,075,600.50 is: 1,049,169,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,808,651 : 445,075,600.50 = 445,075,600.50 : x
  2. Step 2: Convert to fraction form
    188,808,651/445,075,600.50 = 445,075,600.50/x
  3. Step 3: Cross multiply
    188,808,651x = 445,075,600.50 × 445,075,600.50
  4. Step 4: Simplify right side
    188,808,651x = 198,092,290,160,435,616
  5. Step 5: Solve for x
    x = 198,092,290,160,435,616/188,808,651
  6. Step 6: Final answer
    x = 1,049,169,564.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.