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Finding the Third Proportional to 45,314.75 and 97,192.75

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Solution

The third proportional to 45,314.75 and 97,192.75 is: 208,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314.75 : 97,192.75 = 97,192.75 : x
  2. Step 2: Convert to fraction form
    45,314.75/97,192.75 = 97,192.75/x
  3. Step 3: Cross multiply
    45,314.75x = 97,192.75 × 97,192.75
  4. Step 4: Simplify right side
    45,314.75x = 9,446,430,652.56
  5. Step 5: Solve for x
    x = 9,446,430,652.56/45,314.75
  6. Step 6: Final answer
    x = 208,462.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.