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Finding the Third Proportional to 105,280,231 and 163,661,601

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Solution

The third proportional to 105,280,231 and 163,661,601 is: 254,417,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,231 : 163,661,601 = 163,661,601 : x
  2. Step 2: Convert to fraction form
    105,280,231/163,661,601 = 163,661,601/x
  3. Step 3: Cross multiply
    105,280,231x = 163,661,601 × 163,661,601
  4. Step 4: Simplify right side
    105,280,231x = 26,785,119,641,883,200
  5. Step 5: Solve for x
    x = 26,785,119,641,883,200/105,280,231
  6. Step 6: Final answer
    x = 254,417,371.50

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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.