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Finding the Third Proportional to 105,280,211 and 163,661,570

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Solution

The third proportional to 105,280,211 and 163,661,570 is: 254,417,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,211 : 163,661,570 = 163,661,570 : x
  2. Step 2: Convert to fraction form
    105,280,211/163,661,570 = 163,661,570/x
  3. Step 3: Cross multiply
    105,280,211x = 163,661,570 × 163,661,570
  4. Step 4: Simplify right side
    105,280,211x = 26,785,109,494,864,900
  5. Step 5: Solve for x
    x = 26,785,109,494,864,900/105,280,211
  6. Step 6: Final answer
    x = 254,417,323.45

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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.