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Finding the Third Proportional to 41,205,655.71 and 85,802,361.70

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Solution

The third proportional to 41,205,655.71 and 85,802,361.70 is: 178,665,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,205,655.71 : 85,802,361.70 = 85,802,361.70 : x
  2. Step 2: Convert to fraction form
    41,205,655.71/85,802,361.70 = 85,802,361.70/x
  3. Step 3: Cross multiply
    41,205,655.71x = 85,802,361.70 × 85,802,361.70
  4. Step 4: Simplify right side
    41,205,655.71x = 7,362,045,272,828,802
  5. Step 5: Solve for x
    x = 7,362,045,272,828,802/41,205,655.71
  6. Step 6: Final answer
    x = 178,665,892.99

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.