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Finding the Third Proportional to 136,153,893.94 and 204,370,263

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Solution

The third proportional to 136,153,893.94 and 204,370,263 is: 306,764,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,153,893.94 : 204,370,263 = 204,370,263 : x
  2. Step 2: Convert to fraction form
    136,153,893.94/204,370,263 = 204,370,263/x
  3. Step 3: Cross multiply
    136,153,893.94x = 204,370,263 × 204,370,263
  4. Step 4: Simplify right side
    136,153,893.94x = 41,767,204,398,689,168
  5. Step 5: Solve for x
    x = 41,767,204,398,689,168/136,153,893.94
  6. Step 6: Final answer
    x = 306,764,670.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.