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Finding the Third Proportional to 105,280,209 and 163,661,567

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Solution

The third proportional to 105,280,209 and 163,661,567 is: 254,417,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,280,209 : 163,661,567 = 163,661,567 : x
  2. Step 2: Convert to fraction form
    105,280,209/163,661,567 = 163,661,567/x
  3. Step 3: Cross multiply
    105,280,209x = 163,661,567 × 163,661,567
  4. Step 4: Simplify right side
    105,280,209x = 26,785,108,512,895,488
  5. Step 5: Solve for x
    x = 26,785,108,512,895,488/105,280,209
  6. Step 6: Final answer
    x = 254,417,318.96

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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.