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Finding the Third Proportional to 105,280,207 and 163,661,564

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Solution

The third proportional to 105,280,207 and 163,661,564 is: 254,417,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,207 : 163,661,564 = 163,661,564 : x
  2. Step 2: Convert to fraction form
    105,280,207/163,661,564 = 163,661,564/x
  3. Step 3: Cross multiply
    105,280,207x = 163,661,564 × 163,661,564
  4. Step 4: Simplify right side
    105,280,207x = 26,785,107,530,926,096
  5. Step 5: Solve for x
    x = 26,785,107,530,926,096/105,280,207
  6. Step 6: Final answer
    x = 254,417,314.46

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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.