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Finding the Third Proportional to 192,686.63 and 406,146.38

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Solution

The third proportional to 192,686.63 and 406,146.38 is: 856,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,686.63 : 406,146.38 = 406,146.38 : x
  2. Step 2: Convert to fraction form
    192,686.63/406,146.38 = 406,146.38/x
  3. Step 3: Cross multiply
    192,686.63x = 406,146.38 × 406,146.38
  4. Step 4: Simplify right side
    192,686.63x = 164,954,877,925.64
  5. Step 5: Solve for x
    x = 164,954,877,925.64/192,686.63
  6. Step 6: Final answer
    x = 856,078.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.