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Finding the Third Proportional to 47,350,140.50 and 101,749,250.50

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Solution

The third proportional to 47,350,140.50 and 101,749,250.50 is: 218,645,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,350,140.50 : 101,749,250.50 = 101,749,250.50 : x
  2. Step 2: Convert to fraction form
    47,350,140.50/101,749,250.50 = 101,749,250.50/x
  3. Step 3: Cross multiply
    47,350,140.50x = 101,749,250.50 × 101,749,250.50
  4. Step 4: Simplify right side
    47,350,140.50x = 10,352,909,977,311,750
  5. Step 5: Solve for x
    x = 10,352,909,977,311,750/47,350,140.50
  6. Step 6: Final answer
    x = 218,645,813.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.