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Finding the Third Proportional to 196,159.69 and 415,862.44

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Solution

The third proportional to 196,159.69 and 415,862.44 is: 881,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,159.69 : 415,862.44 = 415,862.44 : x
  2. Step 2: Convert to fraction form
    196,159.69/415,862.44 = 415,862.44/x
  3. Step 3: Cross multiply
    196,159.69x = 415,862.44 × 415,862.44
  4. Step 4: Simplify right side
    196,159.69x = 172,941,566,923.44
  5. Step 5: Solve for x
    x = 172,941,566,923.44/196,159.69
  6. Step 6: Final answer
    x = 881,636.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.