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Finding the Third Proportional to 92,511,493.50 and 205,702,647

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Solution

The third proportional to 92,511,493.50 and 205,702,647 is: 457,387,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,511,493.50 : 205,702,647 = 205,702,647 : x
  2. Step 2: Convert to fraction form
    92,511,493.50/205,702,647 = 205,702,647/x
  3. Step 3: Cross multiply
    92,511,493.50x = 205,702,647 × 205,702,647
  4. Step 4: Simplify right side
    92,511,493.50x = 42,313,578,982,806,608
  5. Step 5: Solve for x
    x = 42,313,578,982,806,608/92,511,493.50
  6. Step 6: Final answer
    x = 457,387,264.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.