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Finding the Third Proportional to 85,437,765 and 186,399,229.50

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Solution

The third proportional to 85,437,765 and 186,399,229.50 is: 406,666,451.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,437,765 : 186,399,229.50 = 186,399,229.50 : x
  2. Step 2: Convert to fraction form
    85,437,765/186,399,229.50 = 186,399,229.50/x
  3. Step 3: Cross multiply
    85,437,765x = 186,399,229.50 × 186,399,229.50
  4. Step 4: Simplify right side
    85,437,765x = 34,744,672,758,193,672
  5. Step 5: Solve for x
    x = 34,744,672,758,193,672/85,437,765
  6. Step 6: Final answer
    x = 406,666,451.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.