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Finding the Third Proportional to 83,007.19 and 183,457.31

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Solution

The third proportional to 83,007.19 and 183,457.31 is: 405,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,007.19 : 183,457.31 = 183,457.31 : x
  2. Step 2: Convert to fraction form
    83,007.19/183,457.31 = 183,457.31/x
  3. Step 3: Cross multiply
    83,007.19x = 183,457.31 × 183,457.31
  4. Step 4: Simplify right side
    83,007.19x = 33,656,585,509.72
  5. Step 5: Solve for x
    x = 33,656,585,509.72/83,007.19
  6. Step 6: Final answer
    x = 405,465.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.