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Finding the Third Proportional to 83,982,888.75 and 120,095,674.50

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Solution

The third proportional to 83,982,888.75 and 120,095,674.50 is: 171,737,019.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982,888.75 : 120,095,674.50 = 120,095,674.50 : x
  2. Step 2: Convert to fraction form
    83,982,888.75/120,095,674.50 = 120,095,674.50/x
  3. Step 3: Cross multiply
    83,982,888.75x = 120,095,674.50 × 120,095,674.50
  4. Step 4: Simplify right side
    83,982,888.75x = 14,422,971,033,609,950
  5. Step 5: Solve for x
    x = 14,422,971,033,609,950/83,982,888.75
  6. Step 6: Final answer
    x = 171,737,019.87

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Why These Related Problems?

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