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Finding the Third Proportional to 105,196.22 and 225,466.03

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Solution

The third proportional to 105,196.22 and 225,466.03 is: 483,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,196.22 : 225,466.03 = 225,466.03 : x
  2. Step 2: Convert to fraction form
    105,196.22/225,466.03 = 225,466.03/x
  3. Step 3: Cross multiply
    105,196.22x = 225,466.03 × 225,466.03
  4. Step 4: Simplify right side
    105,196.22x = 50,834,931,247.63
  5. Step 5: Solve for x
    x = 50,834,931,247.63/105,196.22
  6. Step 6: Final answer
    x = 483,239.15

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