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Finding the Third Proportional to 85,283,944.88 and 131,006,570.06

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Solution

The third proportional to 85,283,944.88 and 131,006,570.06 is: 201,242,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,283,944.88 : 131,006,570.06 = 131,006,570.06 : x
  2. Step 2: Convert to fraction form
    85,283,944.88/131,006,570.06 = 131,006,570.06/x
  3. Step 3: Cross multiply
    85,283,944.88x = 131,006,570.06 × 131,006,570.06
  4. Step 4: Simplify right side
    85,283,944.88x = 17,162,721,399,540,722
  5. Step 5: Solve for x
    x = 17,162,721,399,540,722/85,283,944.88
  6. Step 6: Final answer
    x = 201,242,114.50

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.