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Finding the Third Proportional to 38,941,230.94 and 83,094,538.50

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Solution

The third proportional to 38,941,230.94 and 83,094,538.50 is: 177,310,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941,230.94 : 83,094,538.50 = 83,094,538.50 : x
  2. Step 2: Convert to fraction form
    38,941,230.94/83,094,538.50 = 83,094,538.50/x
  3. Step 3: Cross multiply
    38,941,230.94x = 83,094,538.50 × 83,094,538.50
  4. Step 4: Simplify right side
    38,941,230.94x = 6,904,702,328,527,982
  5. Step 5: Solve for x
    x = 6,904,702,328,527,982/38,941,230.94
  6. Step 6: Final answer
    x = 177,310,838.98

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