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Finding the Third Proportional to 85,972.64 and 202,290.01

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Solution

The third proportional to 85,972.64 and 202,290.01 is: 475,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,972.64 : 202,290.01 = 202,290.01 : x
  2. Step 2: Convert to fraction form
    85,972.64/202,290.01 = 202,290.01/x
  3. Step 3: Cross multiply
    85,972.64x = 202,290.01 × 202,290.01
  4. Step 4: Simplify right side
    85,972.64x = 40,921,248,841.17
  5. Step 5: Solve for x
    x = 40,921,248,841.17/85,972.64
  6. Step 6: Final answer
    x = 475,979.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.