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Finding the Third Proportional to 105,280,251 and 163,661,631

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Solution

The third proportional to 105,280,251 and 163,661,631 is: 254,417,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,251 : 163,661,631 = 163,661,631 : x
  2. Step 2: Convert to fraction form
    105,280,251/163,661,631 = 163,661,631/x
  3. Step 3: Cross multiply
    105,280,251x = 163,661,631 × 163,661,631
  4. Step 4: Simplify right side
    105,280,251x = 26,785,129,461,580,160
  5. Step 5: Solve for x
    x = 26,785,129,461,580,160/105,280,251
  6. Step 6: Final answer
    x = 254,417,416.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.