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Finding the Third Proportional to 72,014,863.50 and 102,907,579.50

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Solution

The third proportional to 72,014,863.50 and 102,907,579.50 is: 147,052,558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,014,863.50 : 102,907,579.50 = 102,907,579.50 : x
  2. Step 2: Convert to fraction form
    72,014,863.50/102,907,579.50 = 102,907,579.50/x
  3. Step 3: Cross multiply
    72,014,863.50x = 102,907,579.50 × 102,907,579.50
  4. Step 4: Simplify right side
    72,014,863.50x = 10,589,969,918,548,820
  5. Step 5: Solve for x
    x = 10,589,969,918,548,820/72,014,863.50
  6. Step 6: Final answer
    x = 147,052,558.37

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.