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Finding the Third Proportional to 126,904,215 and 171,223,582.50

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Solution

The third proportional to 126,904,215 and 171,223,582.50 is: 231,020,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,904,215 : 171,223,582.50 = 171,223,582.50 : x
  2. Step 2: Convert to fraction form
    126,904,215/171,223,582.50 = 171,223,582.50/x
  3. Step 3: Cross multiply
    126,904,215x = 171,223,582.50 × 171,223,582.50
  4. Step 4: Simplify right side
    126,904,215x = 29,317,515,204,134,308
  5. Step 5: Solve for x
    x = 29,317,515,204,134,308/126,904,215
  6. Step 6: Final answer
    x = 231,020,815.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.