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Finding the Third Proportional to 85,437,767 and 186,399,234

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Solution

The third proportional to 85,437,767 and 186,399,234 is: 406,666,462.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,437,767 : 186,399,234 = 186,399,234 : x
  2. Step 2: Convert to fraction form
    85,437,767/186,399,234 = 186,399,234/x
  3. Step 3: Cross multiply
    85,437,767x = 186,399,234 × 186,399,234
  4. Step 4: Simplify right side
    85,437,767x = 34,744,674,435,786,756
  5. Step 5: Solve for x
    x = 34,744,674,435,786,756/85,437,767
  6. Step 6: Final answer
    x = 406,666,462.10

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