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Finding the Third Proportional to 90,036,393.75 and 193,722,948

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Solution

The third proportional to 90,036,393.75 and 193,722,948 is: 416,815,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,036,393.75 : 193,722,948 = 193,722,948 : x
  2. Step 2: Convert to fraction form
    90,036,393.75/193,722,948 = 193,722,948/x
  3. Step 3: Cross multiply
    90,036,393.75x = 193,722,948 × 193,722,948
  4. Step 4: Simplify right side
    90,036,393.75x = 37,528,580,581,810,704
  5. Step 5: Solve for x
    x = 37,528,580,581,810,704/90,036,393.75
  6. Step 6: Final answer
    x = 416,815,678.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.