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Finding the Third Proportional to 204,836,710 and 299,478,432

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Solution

The third proportional to 204,836,710 and 299,478,432 is: 437,847,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,836,710 : 299,478,432 = 299,478,432 : x
  2. Step 2: Convert to fraction form
    204,836,710/299,478,432 = 299,478,432/x
  3. Step 3: Cross multiply
    204,836,710x = 299,478,432 × 299,478,432
  4. Step 4: Simplify right side
    204,836,710x = 89,687,331,233,178,624
  5. Step 5: Solve for x
    x = 89,687,331,233,178,624/204,836,710
  6. Step 6: Final answer
    x = 437,847,938.65

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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.