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Finding the Third Proportional to 135,608,382 and 294,334,477.50

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Solution

The third proportional to 135,608,382 and 294,334,477.50 is: 638,845,352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,608,382 : 294,334,477.50 = 294,334,477.50 : x
  2. Step 2: Convert to fraction form
    135,608,382/294,334,477.50 = 294,334,477.50/x
  3. Step 3: Cross multiply
    135,608,382x = 294,334,477.50 × 294,334,477.50
  4. Step 4: Simplify right side
    135,608,382x = 86,632,784,645,198,000
  5. Step 5: Solve for x
    x = 86,632,784,645,198,000/135,608,382
  6. Step 6: Final answer
    x = 638,845,352.83

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Why These Related Problems?

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