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Finding the Third Proportional to 103,474,791 and 162,321,638.25

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Solution

The third proportional to 103,474,791 and 162,321,638.25 is: 254,635,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474,791 : 162,321,638.25 = 162,321,638.25 : x
  2. Step 2: Convert to fraction form
    103,474,791/162,321,638.25 = 162,321,638.25/x
  3. Step 3: Cross multiply
    103,474,791x = 162,321,638.25 × 162,321,638.25
  4. Step 4: Simplify right side
    103,474,791x = 26,348,314,244,163,864
  5. Step 5: Solve for x
    x = 26,348,314,244,163,864/103,474,791
  6. Step 6: Final answer
    x = 254,635,104.74

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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.