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Finding the Third Proportional to 95,516.09 and 206,603.16

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Solution

The third proportional to 95,516.09 and 206,603.16 is: 446,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,516.09 : 206,603.16 = 206,603.16 : x
  2. Step 2: Convert to fraction form
    95,516.09/206,603.16 = 206,603.16/x
  3. Step 3: Cross multiply
    95,516.09x = 206,603.16 × 206,603.16
  4. Step 4: Simplify right side
    95,516.09x = 42,684,864,172.46
  5. Step 5: Solve for x
    x = 42,684,864,172.46/95,516.09
  6. Step 6: Final answer
    x = 446,886.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.