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Finding the Third Proportional to 59,740,923 and 92,264,488.50

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Solution

The third proportional to 59,740,923 and 92,264,488.50 is: 142,494,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,740,923 : 92,264,488.50 = 92,264,488.50 : x
  2. Step 2: Convert to fraction form
    59,740,923/92,264,488.50 = 92,264,488.50/x
  3. Step 3: Cross multiply
    59,740,923x = 92,264,488.50 × 92,264,488.50
  4. Step 4: Simplify right side
    59,740,923x = 8,512,735,838,166,632
  5. Step 5: Solve for x
    x = 8,512,735,838,166,632/59,740,923
  6. Step 6: Final answer
    x = 142,494,213.53

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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.