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Finding the Third Proportional to 85,517,998.50 and 186,717,151.50

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Solution

The third proportional to 85,517,998.50 and 186,717,151.50 is: 407,672,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,517,998.50 : 186,717,151.50 = 186,717,151.50 : x
  2. Step 2: Convert to fraction form
    85,517,998.50/186,717,151.50 = 186,717,151.50/x
  3. Step 3: Cross multiply
    85,517,998.50x = 186,717,151.50 × 186,717,151.50
  4. Step 4: Simplify right side
    85,517,998.50x = 34,863,294,664,273,952
  5. Step 5: Solve for x
    x = 34,863,294,664,273,952/85,517,998.50
  6. Step 6: Final answer
    x = 407,672,013.80

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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.