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Finding the Third Proportional to 105,863,382 and 229,314,118.50

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Solution

The third proportional to 105,863,382 and 229,314,118.50 is: 496,724,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,863,382 : 229,314,118.50 = 229,314,118.50 : x
  2. Step 2: Convert to fraction form
    105,863,382/229,314,118.50 = 229,314,118.50/x
  3. Step 3: Cross multiply
    105,863,382x = 229,314,118.50 × 229,314,118.50
  4. Step 4: Simplify right side
    105,863,382x = 52,584,964,943,432,040
  5. Step 5: Solve for x
    x = 52,584,964,943,432,040/105,863,382
  6. Step 6: Final answer
    x = 496,724,778.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.