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Finding the Third Proportional to 85,969,345.50 and 188,827,598.25

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Solution

The third proportional to 85,969,345.50 and 188,827,598.25 is: 414,750,881.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,969,345.50 : 188,827,598.25 = 188,827,598.25 : x
  2. Step 2: Convert to fraction form
    85,969,345.50/188,827,598.25 = 188,827,598.25/x
  3. Step 3: Cross multiply
    85,969,345.50x = 188,827,598.25 × 188,827,598.25
  4. Step 4: Simplify right side
    85,969,345.50x = 35,655,861,860,863,404
  5. Step 5: Solve for x
    x = 35,655,861,860,863,404/85,969,345.50
  6. Step 6: Final answer
    x = 414,750,881.88

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Why These Related Problems?

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