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Finding the Third Proportional to 38,941,262.50 and 83,094,611.50

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Solution

The third proportional to 38,941,262.50 and 83,094,611.50 is: 177,311,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941,262.50 : 83,094,611.50 = 83,094,611.50 : x
  2. Step 2: Convert to fraction form
    38,941,262.50/83,094,611.50 = 83,094,611.50/x
  3. Step 3: Cross multiply
    38,941,262.50x = 83,094,611.50 × 83,094,611.50
  4. Step 4: Simplify right side
    38,941,262.50x = 6,904,714,460,335,932
  5. Step 5: Solve for x
    x = 6,904,714,460,335,932/38,941,262.50
  6. Step 6: Final answer
    x = 177,311,006.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.