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Finding the Third Proportional to 188,203,564.50 and 407,673,573

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Solution

The third proportional to 188,203,564.50 and 407,673,573 is: 883,074,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,203,564.50 : 407,673,573 = 407,673,573 : x
  2. Step 2: Convert to fraction form
    188,203,564.50/407,673,573 = 407,673,573/x
  3. Step 3: Cross multiply
    188,203,564.50x = 407,673,573 × 407,673,573
  4. Step 4: Simplify right side
    188,203,564.50x = 166,197,742,122,586,336
  5. Step 5: Solve for x
    x = 166,197,742,122,586,336/188,203,564.50
  6. Step 6: Final answer
    x = 883,074,359.21

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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.