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Finding the Third Proportional to 102,229,539.75 and 158,594,760

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Solution

The third proportional to 102,229,539.75 and 158,594,760 is: 246,037,475.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,229,539.75 : 158,594,760 = 158,594,760 : x
  2. Step 2: Convert to fraction form
    102,229,539.75/158,594,760 = 158,594,760/x
  3. Step 3: Cross multiply
    102,229,539.75x = 158,594,760 × 158,594,760
  4. Step 4: Simplify right side
    102,229,539.75x = 25,152,297,899,457,600
  5. Step 5: Solve for x
    x = 25,152,297,899,457,600/102,229,539.75
  6. Step 6: Final answer
    x = 246,037,475.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.