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Finding the Third Proportional to 132,254,208 and 284,774,400

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Solution

The third proportional to 132,254,208 and 284,774,400 is: 613,186,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,254,208 : 284,774,400 = 284,774,400 : x
  2. Step 2: Convert to fraction form
    132,254,208/284,774,400 = 284,774,400/x
  3. Step 3: Cross multiply
    132,254,208x = 284,774,400 × 284,774,400
  4. Step 4: Simplify right side
    132,254,208x = 81,096,458,895,360,000
  5. Step 5: Solve for x
    x = 81,096,458,895,360,000/132,254,208
  6. Step 6: Final answer
    x = 613,186,227.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.