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Finding the Third Proportional to 196,678.13 and 430,889.63

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Solution

The third proportional to 196,678.13 and 430,889.63 is: 944,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,678.13 : 430,889.63 = 430,889.63 : x
  2. Step 2: Convert to fraction form
    196,678.13/430,889.63 = 430,889.63/x
  3. Step 3: Cross multiply
    196,678.13x = 430,889.63 × 430,889.63
  4. Step 4: Simplify right side
    196,678.13x = 185,665,868,932.64
  5. Step 5: Solve for x
    x = 185,665,868,932.64/196,678.13
  6. Step 6: Final answer
    x = 944,008.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.