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Finding the Third Proportional to 85,284.46 and 185,698.51

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Solution

The third proportional to 85,284.46 and 185,698.51 is: 404,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,284.46 : 185,698.51 = 185,698.51 : x
  2. Step 2: Convert to fraction form
    85,284.46/185,698.51 = 185,698.51/x
  3. Step 3: Cross multiply
    85,284.46x = 185,698.51 × 185,698.51
  4. Step 4: Simplify right side
    85,284.46x = 34,483,937,254.56
  5. Step 5: Solve for x
    x = 34,483,937,254.56/85,284.46
  6. Step 6: Final answer
    x = 404,340.23

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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.