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Finding the Third Proportional to 135,812,886.25 and 294,188,285.75

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Solution

The third proportional to 135,812,886.25 and 294,188,285.75 is: 637,249,894.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,812,886.25 : 294,188,285.75 = 294,188,285.75 : x
  2. Step 2: Convert to fraction form
    135,812,886.25/294,188,285.75 = 294,188,285.75/x
  3. Step 3: Cross multiply
    135,812,886.25x = 294,188,285.75 × 294,188,285.75
  4. Step 4: Simplify right side
    135,812,886.25x = 86,546,747,472,523,648
  5. Step 5: Solve for x
    x = 86,546,747,472,523,648/135,812,886.25
  6. Step 6: Final answer
    x = 637,249,894.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.