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Finding the Third Proportional to 193,284.56 and 210,807.56

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Solution

The third proportional to 193,284.56 and 210,807.56 is: 229,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,284.56 : 210,807.56 = 210,807.56 : x
  2. Step 2: Convert to fraction form
    193,284.56/210,807.56 = 210,807.56/x
  3. Step 3: Cross multiply
    193,284.56x = 210,807.56 × 210,807.56
  4. Step 4: Simplify right side
    193,284.56x = 44,439,828,407.19
  5. Step 5: Solve for x
    x = 44,439,828,407.19/193,284.56
  6. Step 6: Final answer
    x = 229,919.18

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.