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Finding the Third Proportional to 80,662,087.50 and 123,983,438.25

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Solution

The third proportional to 80,662,087.50 and 123,983,438.25 is: 190,571,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,662,087.50 : 123,983,438.25 = 123,983,438.25 : x
  2. Step 2: Convert to fraction form
    80,662,087.50/123,983,438.25 = 123,983,438.25/x
  3. Step 3: Cross multiply
    80,662,087.50x = 123,983,438.25 × 123,983,438.25
  4. Step 4: Simplify right side
    80,662,087.50x = 15,371,892,960,291,564
  5. Step 5: Solve for x
    x = 15,371,892,960,291,564/80,662,087.50
  6. Step 6: Final answer
    x = 190,571,474.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.