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Finding the Third Proportional to 42,443,743 and 90,938,167

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Solution

The third proportional to 42,443,743 and 90,938,167 is: 194,840,266.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,443,743 : 90,938,167 = 90,938,167 : x
  2. Step 2: Convert to fraction form
    42,443,743/90,938,167 = 90,938,167/x
  3. Step 3: Cross multiply
    42,443,743x = 90,938,167 × 90,938,167
  4. Step 4: Simplify right side
    42,443,743x = 8,269,750,217,319,889
  5. Step 5: Solve for x
    x = 8,269,750,217,319,889/42,443,743
  6. Step 6: Final answer
    x = 194,840,266.97

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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.