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Finding the Third Proportional to 47,759,487 and 102,330,139

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Solution

The third proportional to 47,759,487 and 102,330,139 is: 219,253,974.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,487 : 102,330,139 = 102,330,139 : x
  2. Step 2: Convert to fraction form
    47,759,487/102,330,139 = 102,330,139/x
  3. Step 3: Cross multiply
    47,759,487x = 102,330,139 × 102,330,139
  4. Step 4: Simplify right side
    47,759,487x = 10,471,457,347,759,320
  5. Step 5: Solve for x
    x = 10,471,457,347,759,320/47,759,487
  6. Step 6: Final answer
    x = 219,253,974.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.