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Finding the Third Proportional to 208,189,711.56 and 457,242,484.41

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Solution

The third proportional to 208,189,711.56 and 457,242,484.41 is: 1,004,231,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,189,711.56 : 457,242,484.41 = 457,242,484.41 : x
  2. Step 2: Convert to fraction form
    208,189,711.56/457,242,484.41 = 457,242,484.41/x
  3. Step 3: Cross multiply
    208,189,711.56x = 457,242,484.41 × 457,242,484.41
  4. Step 4: Simplify right side
    208,189,711.56x = 209,070,689,551,349,536
  5. Step 5: Solve for x
    x = 209,070,689,551,349,536/208,189,711.56
  6. Step 6: Final answer
    x = 1,004,231,611.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.