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Finding the Third Proportional to 47,759,472.50 and 102,330,106

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Solution

The third proportional to 47,759,472.50 and 102,330,106 is: 219,253,899.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,472.50 : 102,330,106 = 102,330,106 : x
  2. Step 2: Convert to fraction form
    47,759,472.50/102,330,106 = 102,330,106/x
  3. Step 3: Cross multiply
    47,759,472.50x = 102,330,106 × 102,330,106
  4. Step 4: Simplify right side
    47,759,472.50x = 10,471,450,593,971,236
  5. Step 5: Solve for x
    x = 10,471,450,593,971,236/47,759,472.50
  6. Step 6: Final answer
    x = 219,253,899.72

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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.