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Finding the Third Proportional to 85,343.63 and 176,200.13

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Solution

The third proportional to 85,343.63 and 176,200.13 is: 363,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,343.63 : 176,200.13 = 176,200.13 : x
  2. Step 2: Convert to fraction form
    85,343.63/176,200.13 = 176,200.13/x
  3. Step 3: Cross multiply
    85,343.63x = 176,200.13 × 176,200.13
  4. Step 4: Simplify right side
    85,343.63x = 31,046,484,050.02
  5. Step 5: Solve for x
    x = 31,046,484,050.02/85,343.63
  6. Step 6: Final answer
    x = 363,782.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.