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Finding the Third Proportional to 65,511,974.81 and 102,760,062.75

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Solution

The third proportional to 65,511,974.81 and 102,760,062.75 is: 161,186,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,511,974.81 : 102,760,062.75 = 102,760,062.75 : x
  2. Step 2: Convert to fraction form
    65,511,974.81/102,760,062.75 = 102,760,062.75/x
  3. Step 3: Cross multiply
    65,511,974.81x = 102,760,062.75 × 102,760,062.75
  4. Step 4: Simplify right side
    65,511,974.81x = 10,559,630,496,383,938
  5. Step 5: Solve for x
    x = 10,559,630,496,383,938/65,511,974.81
  6. Step 6: Final answer
    x = 161,186,264.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.