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Finding the Third Proportional to 199,091 and 429,853

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Solution

The third proportional to 199,091 and 429,853 is: 928,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,091 : 429,853 = 429,853 : x
  2. Step 2: Convert to fraction form
    199,091/429,853 = 429,853/x
  3. Step 3: Cross multiply
    199,091x = 429,853 × 429,853
  4. Step 4: Simplify right side
    199,091x = 184,773,601,609
  5. Step 5: Solve for x
    x = 184,773,601,609/199,091
  6. Step 6: Final answer
    x = 928,086.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.