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Finding the Third Proportional to 48,893,489 and 103,616,222

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Solution

The third proportional to 48,893,489 and 103,616,222 is: 219,585,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,893,489 : 103,616,222 = 103,616,222 : x
  2. Step 2: Convert to fraction form
    48,893,489/103,616,222 = 103,616,222/x
  3. Step 3: Cross multiply
    48,893,489x = 103,616,222 × 103,616,222
  4. Step 4: Simplify right side
    48,893,489x = 10,736,321,461,553,284
  5. Step 5: Solve for x
    x = 10,736,321,461,553,284/48,893,489
  6. Step 6: Final answer
    x = 219,585,913.81

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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.