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Finding the Third Proportional to 48,715,816 and 100,884,766

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Solution

The third proportional to 48,715,816 and 100,884,766 is: 208,920,569.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,715,816 : 100,884,766 = 100,884,766 : x
  2. Step 2: Convert to fraction form
    48,715,816/100,884,766 = 100,884,766/x
  3. Step 3: Cross multiply
    48,715,816x = 100,884,766 × 100,884,766
  4. Step 4: Simplify right side
    48,715,816x = 10,177,736,010,874,756
  5. Step 5: Solve for x
    x = 10,177,736,010,874,756/48,715,816
  6. Step 6: Final answer
    x = 208,920,569.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.