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Finding the Third Proportional to 85,811,608 and 187,666,197

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Solution

The third proportional to 85,811,608 and 187,666,197 is: 410,417,684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,811,608 : 187,666,197 = 187,666,197 : x
  2. Step 2: Convert to fraction form
    85,811,608/187,666,197 = 187,666,197/x
  3. Step 3: Cross multiply
    85,811,608x = 187,666,197 × 187,666,197
  4. Step 4: Simplify right side
    85,811,608x = 35,218,601,496,442,808
  5. Step 5: Solve for x
    x = 35,218,601,496,442,808/85,811,608
  6. Step 6: Final answer
    x = 410,417,684.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.