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Finding the Third Proportional to 105,792,999 and 163,406,007

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Solution

The third proportional to 105,792,999 and 163,406,007 is: 252,394,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792,999 : 163,406,007 = 163,406,007 : x
  2. Step 2: Convert to fraction form
    105,792,999/163,406,007 = 163,406,007/x
  3. Step 3: Cross multiply
    105,792,999x = 163,406,007 × 163,406,007
  4. Step 4: Simplify right side
    105,792,999x = 26,701,523,123,684,048
  5. Step 5: Solve for x
    x = 26,701,523,123,684,048/105,792,999
  6. Step 6: Final answer
    x = 252,394,046.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.