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Finding the Third Proportional to 48,893,485 and 103,616,214

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Solution

The third proportional to 48,893,485 and 103,616,214 is: 219,585,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,485 : 103,616,214 = 103,616,214 : x
  2. Step 2: Convert to fraction form
    48,893,485/103,616,214 = 103,616,214/x
  3. Step 3: Cross multiply
    48,893,485x = 103,616,214 × 103,616,214
  4. Step 4: Simplify right side
    48,893,485x = 10,736,319,803,693,796
  5. Step 5: Solve for x
    x = 10,736,319,803,693,796/48,893,485
  6. Step 6: Final answer
    x = 219,585,897.87

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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.