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Finding the Third Proportional to 45,122.06 and 97,203.80

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Solution

The third proportional to 45,122.06 and 97,203.80 is: 209,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,122.06 : 97,203.80 = 97,203.80 : x
  2. Step 2: Convert to fraction form
    45,122.06/97,203.80 = 97,203.80/x
  3. Step 3: Cross multiply
    45,122.06x = 97,203.80 × 97,203.80
  4. Step 4: Simplify right side
    45,122.06x = 9,448,578,126.92
  5. Step 5: Solve for x
    x = 9,448,578,126.92/45,122.06
  6. Step 6: Final answer
    x = 209,400.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.