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Finding the Third Proportional to 48,784,763 and 106,072,258

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Solution

The third proportional to 48,784,763 and 106,072,258 is: 230,631,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,784,763 : 106,072,258 = 106,072,258 : x
  2. Step 2: Convert to fraction form
    48,784,763/106,072,258 = 106,072,258/x
  3. Step 3: Cross multiply
    48,784,763x = 106,072,258 × 106,072,258
  4. Step 4: Simplify right side
    48,784,763x = 11,251,323,917,218,564
  5. Step 5: Solve for x
    x = 11,251,323,917,218,564/48,784,763
  6. Step 6: Final answer
    x = 230,631,927.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.