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Finding the Third Proportional to 188,201,564 and 407,669,534

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Solution

The third proportional to 188,201,564 and 407,669,534 is: 883,066,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,201,564 : 407,669,534 = 407,669,534 : x
  2. Step 2: Convert to fraction form
    188,201,564/407,669,534 = 407,669,534/x
  3. Step 3: Cross multiply
    188,201,564x = 407,669,534 × 407,669,534
  4. Step 4: Simplify right side
    188,201,564x = 166,194,448,951,777,152
  5. Step 5: Solve for x
    x = 166,194,448,951,777,152/188,201,564
  6. Step 6: Final answer
    x = 883,066,247.80

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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.