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Finding the Third Proportional to 47,599,869 and 103,122,829.50

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Solution

The third proportional to 47,599,869 and 103,122,829.50 is: 223,410,656.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,599,869 : 103,122,829.50 = 103,122,829.50 : x
  2. Step 2: Convert to fraction form
    47,599,869/103,122,829.50 = 103,122,829.50/x
  3. Step 3: Cross multiply
    47,599,869x = 103,122,829.50 × 103,122,829.50
  4. Step 4: Simplify right side
    47,599,869x = 10,634,317,964,086,070
  5. Step 5: Solve for x
    x = 10,634,317,964,086,070/47,599,869
  6. Step 6: Final answer
    x = 223,410,656.11

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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.