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Finding the Third Proportional to 48,117,816 and 103,747,312

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Solution

The third proportional to 48,117,816 and 103,747,312 is: 223,690,633.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,117,816 : 103,747,312 = 103,747,312 : x
  2. Step 2: Convert to fraction form
    48,117,816/103,747,312 = 103,747,312/x
  3. Step 3: Cross multiply
    48,117,816x = 103,747,312 × 103,747,312
  4. Step 4: Simplify right side
    48,117,816x = 10,763,504,747,225,344
  5. Step 5: Solve for x
    x = 10,763,504,747,225,344/48,117,816
  6. Step 6: Final answer
    x = 223,690,633.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.