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Finding the Third Proportional to 199,094.48 and 429,885.28

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Solution

The third proportional to 199,094.48 and 429,885.28 is: 928,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,094.48 : 429,885.28 = 429,885.28 : x
  2. Step 2: Convert to fraction form
    199,094.48/429,885.28 = 429,885.28/x
  3. Step 3: Cross multiply
    199,094.48x = 429,885.28 × 429,885.28
  4. Step 4: Simplify right side
    199,094.48x = 184,801,355,035.39
  5. Step 5: Solve for x
    x = 184,801,355,035.39/199,094.48
  6. Step 6: Final answer
    x = 928,209.32

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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.