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Finding the Third Proportional to 147,313,275 and 204,827,385

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Solution

The third proportional to 147,313,275 and 204,827,385 is: 284,796,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,313,275 : 204,827,385 = 204,827,385 : x
  2. Step 2: Convert to fraction form
    147,313,275/204,827,385 = 204,827,385/x
  3. Step 3: Cross multiply
    147,313,275x = 204,827,385 × 204,827,385
  4. Step 4: Simplify right side
    147,313,275x = 41,954,257,645,938,224
  5. Step 5: Solve for x
    x = 41,954,257,645,938,224/147,313,275
  6. Step 6: Final answer
    x = 284,796,177.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.