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Finding the Third Proportional to 107,994,217.50 and 233,226,438.75

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Solution

The third proportional to 107,994,217.50 and 233,226,438.75 is: 503,680,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,994,217.50 : 233,226,438.75 = 233,226,438.75 : x
  2. Step 2: Convert to fraction form
    107,994,217.50/233,226,438.75 = 233,226,438.75/x
  3. Step 3: Cross multiply
    107,994,217.50x = 233,226,438.75 × 233,226,438.75
  4. Step 4: Simplify right side
    107,994,217.50x = 54,394,571,732,007,504
  5. Step 5: Solve for x
    x = 54,394,571,732,007,504/107,994,217.50
  6. Step 6: Final answer
    x = 503,680,409.85

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.