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Finding the Third Proportional to 47,956,738.50 and 103,978,444.50

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Solution

The third proportional to 47,956,738.50 and 103,978,444.50 is: 225,443,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,956,738.50 : 103,978,444.50 = 103,978,444.50 : x
  2. Step 2: Convert to fraction form
    47,956,738.50/103,978,444.50 = 103,978,444.50/x
  3. Step 3: Cross multiply
    47,956,738.50x = 103,978,444.50 × 103,978,444.50
  4. Step 4: Simplify right side
    47,956,738.50x = 10,811,516,920,639,580
  5. Step 5: Solve for x
    x = 10,811,516,920,639,580/47,956,738.50
  6. Step 6: Final answer
    x = 225,443,123.51

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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.