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Finding the Third Proportional to 105,280,215 and 163,661,576

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Solution

The third proportional to 105,280,215 and 163,661,576 is: 254,417,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,215 : 163,661,576 = 163,661,576 : x
  2. Step 2: Convert to fraction form
    105,280,215/163,661,576 = 163,661,576/x
  3. Step 3: Cross multiply
    105,280,215x = 163,661,576 × 163,661,576
  4. Step 4: Simplify right side
    105,280,215x = 26,785,111,458,803,776
  5. Step 5: Solve for x
    x = 26,785,111,458,803,776/105,280,215
  6. Step 6: Final answer
    x = 254,417,332.44

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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.