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Finding the Third Proportional to 48,893,498 and 103,616,240

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Solution

The third proportional to 48,893,498 and 103,616,240 is: 219,585,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,498 : 103,616,240 = 103,616,240 : x
  2. Step 2: Convert to fraction form
    48,893,498/103,616,240 = 103,616,240/x
  3. Step 3: Cross multiply
    48,893,498x = 103,616,240 × 103,616,240
  4. Step 4: Simplify right side
    48,893,498x = 10,736,325,191,737,600
  5. Step 5: Solve for x
    x = 10,736,325,191,737,600/48,893,498
  6. Step 6: Final answer
    x = 219,585,949.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.