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Finding the Third Proportional to 42,876,486 and 91,977,201

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Solution

The third proportional to 42,876,486 and 91,977,201 is: 197,306,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,876,486 : 91,977,201 = 91,977,201 : x
  2. Step 2: Convert to fraction form
    42,876,486/91,977,201 = 91,977,201/x
  3. Step 3: Cross multiply
    42,876,486x = 91,977,201 × 91,977,201
  4. Step 4: Simplify right side
    42,876,486x = 8,459,805,503,794,401
  5. Step 5: Solve for x
    x = 8,459,805,503,794,401/42,876,486
  6. Step 6: Final answer
    x = 197,306,409.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.