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Finding the Third Proportional to 48,893,483 and 103,616,210

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Solution

The third proportional to 48,893,483 and 103,616,210 is: 219,585,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,483 : 103,616,210 = 103,616,210 : x
  2. Step 2: Convert to fraction form
    48,893,483/103,616,210 = 103,616,210/x
  3. Step 3: Cross multiply
    48,893,483x = 103,616,210 × 103,616,210
  4. Step 4: Simplify right side
    48,893,483x = 10,736,318,974,764,100
  5. Step 5: Solve for x
    x = 10,736,318,974,764,100/48,893,483
  6. Step 6: Final answer
    x = 219,585,889.90

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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.