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Finding the Third Proportional to 196,857 and 429,799.50

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Solution

The third proportional to 196,857 and 429,799.50 is: 938,384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,857 : 429,799.50 = 429,799.50 : x
  2. Step 2: Convert to fraction form
    196,857/429,799.50 = 429,799.50/x
  3. Step 3: Cross multiply
    196,857x = 429,799.50 × 429,799.50
  4. Step 4: Simplify right side
    196,857x = 184,727,610,200.25
  5. Step 5: Solve for x
    x = 184,727,610,200.25/196,857
  6. Step 6: Final answer
    x = 938,384.77

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