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Finding the Third Proportional to 158,608,636.50 and 242,471,740.50

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Solution

The third proportional to 158,608,636.50 and 242,471,740.50 is: 370,676,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,608,636.50 : 242,471,740.50 = 242,471,740.50 : x
  2. Step 2: Convert to fraction form
    158,608,636.50/242,471,740.50 = 242,471,740.50/x
  3. Step 3: Cross multiply
    158,608,636.50x = 242,471,740.50 × 242,471,740.50
  4. Step 4: Simplify right side
    158,608,636.50x = 58,792,544,941,099,344
  5. Step 5: Solve for x
    x = 58,792,544,941,099,344/158,608,636.50
  6. Step 6: Final answer
    x = 370,676,819.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.