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Finding the Third Proportional to 47,705,443.50 and 103,332,431.63

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Solution

The third proportional to 47,705,443.50 and 103,332,431.63 is: 223,823,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,705,443.50 : 103,332,431.63 = 103,332,431.63 : x
  2. Step 2: Convert to fraction form
    47,705,443.50/103,332,431.63 = 103,332,431.63/x
  3. Step 3: Cross multiply
    47,705,443.50x = 103,332,431.63 × 103,332,431.63
  4. Step 4: Simplify right side
    47,705,443.50x = 10,677,591,425,535,300
  5. Step 5: Solve for x
    x = 10,677,591,425,535,300/47,705,443.50
  6. Step 6: Final answer
    x = 223,823,334.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.