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Finding the Third Proportional to 118,957,177.50 and 181,855,645.50

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Solution

The third proportional to 118,957,177.50 and 181,855,645.50 is: 278,011,604.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,957,177.50 : 181,855,645.50 = 181,855,645.50 : x
  2. Step 2: Convert to fraction form
    118,957,177.50/181,855,645.50 = 181,855,645.50/x
  3. Step 3: Cross multiply
    118,957,177.50x = 181,855,645.50 × 181,855,645.50
  4. Step 4: Simplify right side
    118,957,177.50x = 33,071,475,800,221,672
  5. Step 5: Solve for x
    x = 33,071,475,800,221,672/118,957,177.50
  6. Step 6: Final answer
    x = 278,011,604.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.