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Finding the Third Proportional to 204,836,688 and 299,478,398

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Solution

The third proportional to 204,836,688 and 299,478,398 is: 437,847,886.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,836,688 : 299,478,398 = 299,478,398 : x
  2. Step 2: Convert to fraction form
    204,836,688/299,478,398 = 299,478,398/x
  3. Step 3: Cross multiply
    204,836,688x = 299,478,398 × 299,478,398
  4. Step 4: Simplify right side
    204,836,688x = 89,687,310,868,646,400
  5. Step 5: Solve for x
    x = 89,687,310,868,646,400/204,836,688
  6. Step 6: Final answer
    x = 437,847,886.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.