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Finding the Third Proportional to 197,925,180 and 409,427,256

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Solution

The third proportional to 197,925,180 and 409,427,256 is: 846,939,626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,925,180 : 409,427,256 = 409,427,256 : x
  2. Step 2: Convert to fraction form
    197,925,180/409,427,256 = 409,427,256/x
  3. Step 3: Cross multiply
    197,925,180x = 409,427,256 × 409,427,256
  4. Step 4: Simplify right side
    197,925,180x = 167,630,677,955,689,536
  5. Step 5: Solve for x
    x = 167,630,677,955,689,536/197,925,180
  6. Step 6: Final answer
    x = 846,939,626.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.