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Finding the Third Proportional to 68,945,235.75 and 102,441,145.50

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Solution

The third proportional to 68,945,235.75 and 102,441,145.50 is: 152,210,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,945,235.75 : 102,441,145.50 = 102,441,145.50 : x
  2. Step 2: Convert to fraction form
    68,945,235.75/102,441,145.50 = 102,441,145.50/x
  3. Step 3: Cross multiply
    68,945,235.75x = 102,441,145.50 × 102,441,145.50
  4. Step 4: Simplify right side
    68,945,235.75x = 10,494,188,291,352,170
  5. Step 5: Solve for x
    x = 10,494,188,291,352,170/68,945,235.75
  6. Step 6: Final answer
    x = 152,210,492.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.