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Finding the Third Proportional to 126,904,225.50 and 171,223,597.50

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Solution

The third proportional to 126,904,225.50 and 171,223,597.50 is: 231,020,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,904,225.50 : 171,223,597.50 = 171,223,597.50 : x
  2. Step 2: Convert to fraction form
    126,904,225.50/171,223,597.50 = 171,223,597.50/x
  3. Step 3: Cross multiply
    126,904,225.50x = 171,223,597.50 × 171,223,597.50
  4. Step 4: Simplify right side
    126,904,225.50x = 29,317,520,340,842,008
  5. Step 5: Solve for x
    x = 29,317,520,340,842,008/126,904,225.50
  6. Step 6: Final answer
    x = 231,020,836.58

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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.