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Finding the Third Proportional to 90,036,412.50 and 193,722,986

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Solution

The third proportional to 90,036,412.50 and 193,722,986 is: 416,815,755.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,036,412.50 : 193,722,986 = 193,722,986 : x
  2. Step 2: Convert to fraction form
    90,036,412.50/193,722,986 = 193,722,986/x
  3. Step 3: Cross multiply
    90,036,412.50x = 193,722,986 × 193,722,986
  4. Step 4: Simplify right side
    90,036,412.50x = 37,528,595,304,756,192
  5. Step 5: Solve for x
    x = 37,528,595,304,756,192/90,036,412.50
  6. Step 6: Final answer
    x = 416,815,755.57

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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.