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Finding the Third Proportional to 72,014,889 and 102,907,609.50

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Solution

The third proportional to 72,014,889 and 102,907,609.50 is: 147,052,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,014,889 : 102,907,609.50 = 102,907,609.50 : x
  2. Step 2: Convert to fraction form
    72,014,889/102,907,609.50 = 102,907,609.50/x
  3. Step 3: Cross multiply
    72,014,889x = 102,907,609.50 × 102,907,609.50
  4. Step 4: Simplify right side
    72,014,889x = 10,589,976,093,004,490
  5. Step 5: Solve for x
    x = 10,589,976,093,004,490/72,014,889
  6. Step 6: Final answer
    x = 147,052,592.04

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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.