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Finding the Third Proportional to 188,768,747.25 and 444,980,423.25

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Solution

The third proportional to 188,768,747.25 and 444,980,423.25 is: 1,048,942,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,768,747.25 : 444,980,423.25 = 444,980,423.25 : x
  2. Step 2: Convert to fraction form
    188,768,747.25/444,980,423.25 = 444,980,423.25/x
  3. Step 3: Cross multiply
    188,768,747.25x = 444,980,423.25 × 444,980,423.25
  4. Step 4: Simplify right side
    188,768,747.25x = 198,007,577,075,749,152
  5. Step 5: Solve for x
    x = 198,007,577,075,749,152/188,768,747.25
  6. Step 6: Final answer
    x = 1,048,942,581.65

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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.