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Finding the Third Proportional to 38,209,101.75 and 83,924,536.50

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Solution

The third proportional to 38,209,101.75 and 83,924,536.50 is: 184,336,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209,101.75 : 83,924,536.50 = 83,924,536.50 : x
  2. Step 2: Convert to fraction form
    38,209,101.75/83,924,536.50 = 83,924,536.50/x
  3. Step 3: Cross multiply
    38,209,101.75x = 83,924,536.50 × 83,924,536.50
  4. Step 4: Simplify right side
    38,209,101.75x = 7,043,327,826,739,832
  5. Step 5: Solve for x
    x = 7,043,327,826,739,832/38,209,101.75
  6. Step 6: Final answer
    x = 184,336,388.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.