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Finding the Third Proportional to 95,652.56 and 208,528.13

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Solution

The third proportional to 95,652.56 and 208,528.13 is: 454,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,652.56 : 208,528.13 = 208,528.13 : x
  2. Step 2: Convert to fraction form
    95,652.56/208,528.13 = 208,528.13/x
  3. Step 3: Cross multiply
    95,652.56x = 208,528.13 × 208,528.13
  4. Step 4: Simplify right side
    95,652.56x = 43,483,978,916.02
  5. Step 5: Solve for x
    x = 43,483,978,916.02/95,652.56
  6. Step 6: Final answer
    x = 454,603.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.