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Finding the Third Proportional to 45,767.53 and 99,147.09

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Solution

The third proportional to 45,767.53 and 99,147.09 is: 214,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,767.53 : 99,147.09 = 99,147.09 : x
  2. Step 2: Convert to fraction form
    45,767.53/99,147.09 = 99,147.09/x
  3. Step 3: Cross multiply
    45,767.53x = 99,147.09 × 99,147.09
  4. Step 4: Simplify right side
    45,767.53x = 9,830,146,199.07
  5. Step 5: Solve for x
    x = 9,830,146,199.07/45,767.53
  6. Step 6: Final answer
    x = 214,784.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.