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Finding the Third Proportional to 47,046,283.50 and 101,910,202.50

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Solution

The third proportional to 47,046,283.50 and 101,910,202.50 is: 220,754,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,046,283.50 : 101,910,202.50 = 101,910,202.50 : x
  2. Step 2: Convert to fraction form
    47,046,283.50/101,910,202.50 = 101,910,202.50/x
  3. Step 3: Cross multiply
    47,046,283.50x = 101,910,202.50 × 101,910,202.50
  4. Step 4: Simplify right side
    47,046,283.50x = 10,385,689,373,591,006
  5. Step 5: Solve for x
    x = 10,385,689,373,591,006/47,046,283.50
  6. Step 6: Final answer
    x = 220,754,724.94

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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.