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Finding the Third Proportional to 196,369.88 and 427,730.63

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Solution

The third proportional to 196,369.88 and 427,730.63 is: 931,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,369.88 : 427,730.63 = 427,730.63 : x
  2. Step 2: Convert to fraction form
    196,369.88/427,730.63 = 427,730.63/x
  3. Step 3: Cross multiply
    196,369.88x = 427,730.63 × 427,730.63
  4. Step 4: Simplify right side
    196,369.88x = 182,953,487,562.89
  5. Step 5: Solve for x
    x = 182,953,487,562.89/196,369.88
  6. Step 6: Final answer
    x = 931,677.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.