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Finding the Third Proportional to 42,443,847 and 90,938,380.50

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Solution

The third proportional to 42,443,847 and 90,938,380.50 is: 194,840,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,443,847 : 90,938,380.50 = 90,938,380.50 : x
  2. Step 2: Convert to fraction form
    42,443,847/90,938,380.50 = 90,938,380.50/x
  3. Step 3: Cross multiply
    42,443,847x = 90,938,380.50 × 90,938,380.50
  4. Step 4: Simplify right side
    42,443,847x = 8,269,789,047,962,780
  5. Step 5: Solve for x
    x = 8,269,789,047,962,780/42,443,847
  6. Step 6: Final answer
    x = 194,840,704.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.