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Finding the Third Proportional to 135,812,889.84 and 294,188,293.41

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Solution

The third proportional to 135,812,889.84 and 294,188,293.41 is: 637,249,911.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,812,889.84 : 294,188,293.41 = 294,188,293.41 : x
  2. Step 2: Convert to fraction form
    135,812,889.84/294,188,293.41 = 294,188,293.41/x
  3. Step 3: Cross multiply
    135,812,889.84x = 294,188,293.41 × 294,188,293.41
  4. Step 4: Simplify right side
    135,812,889.84x = 86,546,751,977,281,840
  5. Step 5: Solve for x
    x = 86,546,751,977,281,840/135,812,889.84
  6. Step 6: Final answer
    x = 637,249,911.09

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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.