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Finding the Third Proportional to 188,203,569 and 407,673,583

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Solution

The third proportional to 188,203,569 and 407,673,583 is: 883,074,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,203,569 : 407,673,583 = 407,673,583 : x
  2. Step 2: Convert to fraction form
    188,203,569/407,673,583 = 407,673,583/x
  3. Step 3: Cross multiply
    188,203,569x = 407,673,583 × 407,673,583
  4. Step 4: Simplify right side
    188,203,569x = 166,197,750,276,057,888
  5. Step 5: Solve for x
    x = 166,197,750,276,057,888/188,203,569
  6. Step 6: Final answer
    x = 883,074,381.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.