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Finding the Third Proportional to 196,217.44 and 423,804.66

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Solution

The third proportional to 196,217.44 and 423,804.66 is: 915,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,217.44 : 423,804.66 = 423,804.66 : x
  2. Step 2: Convert to fraction form
    196,217.44/423,804.66 = 423,804.66/x
  3. Step 3: Cross multiply
    196,217.44x = 423,804.66 × 423,804.66
  4. Step 4: Simplify right side
    196,217.44x = 179,610,386,659.18
  5. Step 5: Solve for x
    x = 179,610,386,659.18/196,217.44
  6. Step 6: Final answer
    x = 915,364.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.