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Finding the Third Proportional to 83,982,936 and 120,095,743.50

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Solution

The third proportional to 83,982,936 and 120,095,743.50 is: 171,737,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982,936 : 120,095,743.50 = 120,095,743.50 : x
  2. Step 2: Convert to fraction form
    83,982,936/120,095,743.50 = 120,095,743.50/x
  3. Step 3: Cross multiply
    83,982,936x = 120,095,743.50 × 120,095,743.50
  4. Step 4: Simplify right side
    83,982,936x = 14,422,987,606,817,792
  5. Step 5: Solve for x
    x = 14,422,987,606,817,792/83,982,936
  6. Step 6: Final answer
    x = 171,737,120.58

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.