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Finding the Third Proportional to 188,201,559 and 407,669,523

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Solution

The third proportional to 188,201,559 and 407,669,523 is: 883,066,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,201,559 : 407,669,523 = 407,669,523 : x
  2. Step 2: Convert to fraction form
    188,201,559/407,669,523 = 407,669,523/x
  3. Step 3: Cross multiply
    188,201,559x = 407,669,523 × 407,669,523
  4. Step 4: Simplify right side
    188,201,559x = 166,194,439,983,047,520
  5. Step 5: Solve for x
    x = 166,194,439,983,047,520/188,201,559
  6. Step 6: Final answer
    x = 883,066,223.61

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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.