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Finding the Third Proportional to 205,034,872 and 449,015,832

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Solution

The third proportional to 205,034,872 and 449,015,832 is: 983,321,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,034,872 : 449,015,832 = 449,015,832 : x
  2. Step 2: Convert to fraction form
    205,034,872/449,015,832 = 449,015,832/x
  3. Step 3: Cross multiply
    205,034,872x = 449,015,832 × 449,015,832
  4. Step 4: Simplify right side
    205,034,872x = 201,615,217,386,652,224
  5. Step 5: Solve for x
    x = 201,615,217,386,652,224/205,034,872
  6. Step 6: Final answer
    x = 983,321,595.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.