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Finding the Third Proportional to 105,792,996.38 and 163,406,003.06

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Solution

The third proportional to 105,792,996.38 and 163,406,003.06 is: 252,394,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,792,996.38 : 163,406,003.06 = 163,406,003.06 : x
  2. Step 2: Convert to fraction form
    105,792,996.38/163,406,003.06 = 163,406,003.06/x
  3. Step 3: Cross multiply
    105,792,996.38x = 163,406,003.06 × 163,406,003.06
  4. Step 4: Simplify right side
    105,792,996.38x = 26,701,521,836,861,760
  5. Step 5: Solve for x
    x = 26,701,521,836,861,760/105,792,996.38
  6. Step 6: Final answer
    x = 252,394,040.74

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