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Finding the Third Proportional to 54,508,749.50 and 83,783,703

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Solution

The third proportional to 54,508,749.50 and 83,783,703 is: 128,781,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,508,749.50 : 83,783,703 = 83,783,703 : x
  2. Step 2: Convert to fraction form
    54,508,749.50/83,783,703 = 83,783,703/x
  3. Step 3: Cross multiply
    54,508,749.50x = 83,783,703 × 83,783,703
  4. Step 4: Simplify right side
    54,508,749.50x = 7,019,708,888,392,209
  5. Step 5: Solve for x
    x = 7,019,708,888,392,209/54,508,749.50
  6. Step 6: Final answer
    x = 128,781,323.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.