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Finding the Third Proportional to 47,685,096 and 102,992,424

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Solution

The third proportional to 47,685,096 and 102,992,424 is: 222,447,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,685,096 : 102,992,424 = 102,992,424 : x
  2. Step 2: Convert to fraction form
    47,685,096/102,992,424 = 102,992,424/x
  3. Step 3: Cross multiply
    47,685,096x = 102,992,424 × 102,992,424
  4. Step 4: Simplify right side
    47,685,096x = 10,607,439,401,395,776
  5. Step 5: Solve for x
    x = 10,607,439,401,395,776/47,685,096
  6. Step 6: Final answer
    x = 222,447,688.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.