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Finding the Third Proportional to 90,226,851.75 and 193,403,078.75

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Solution

The third proportional to 90,226,851.75 and 193,403,078.75 is: 414,563,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,226,851.75 : 193,403,078.75 = 193,403,078.75 : x
  2. Step 2: Convert to fraction form
    90,226,851.75/193,403,078.75 = 193,403,078.75/x
  3. Step 3: Cross multiply
    90,226,851.75x = 193,403,078.75 × 193,403,078.75
  4. Step 4: Simplify right side
    90,226,851.75x = 37,404,750,869,978,704
  5. Step 5: Solve for x
    x = 37,404,750,869,978,704/90,226,851.75
  6. Step 6: Final answer
    x = 414,563,404.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.