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Finding the Third Proportional to 188,018,212.50 and 412,357,149

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Solution

The third proportional to 188,018,212.50 and 412,357,149 is: 904,372,060.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,018,212.50 : 412,357,149 = 412,357,149 : x
  2. Step 2: Convert to fraction form
    188,018,212.50/412,357,149 = 412,357,149/x
  3. Step 3: Cross multiply
    188,018,212.50x = 412,357,149 × 412,357,149
  4. Step 4: Simplify right side
    188,018,212.50x = 170,038,418,331,408,192
  5. Step 5: Solve for x
    x = 170,038,418,331,408,192/188,018,212.50
  6. Step 6: Final answer
    x = 904,372,060.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.