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Finding the Third Proportional to 99,336,096 and 148,392,384

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Solution

The third proportional to 99,336,096 and 148,392,384 is: 221,674,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,336,096 : 148,392,384 = 148,392,384 : x
  2. Step 2: Convert to fraction form
    99,336,096/148,392,384 = 148,392,384/x
  3. Step 3: Cross multiply
    99,336,096x = 148,392,384 × 148,392,384
  4. Step 4: Simplify right side
    99,336,096x = 22,020,299,629,203,456
  5. Step 5: Solve for x
    x = 22,020,299,629,203,456/99,336,096
  6. Step 6: Final answer
    x = 221,674,703.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.