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Finding the Third Proportional to 48,893,510 and 103,616,264

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Solution

The third proportional to 48,893,510 and 103,616,264 is: 219,585,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,510 : 103,616,264 = 103,616,264 : x
  2. Step 2: Convert to fraction form
    48,893,510/103,616,264 = 103,616,264/x
  3. Step 3: Cross multiply
    48,893,510x = 103,616,264 × 103,616,264
  4. Step 4: Simplify right side
    48,893,510x = 10,736,330,165,317,696
  5. Step 5: Solve for x
    x = 10,736,330,165,317,696/48,893,510
  6. Step 6: Final answer
    x = 219,585,997.51

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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.