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Finding the Third Proportional to 152,112,898.50 and 332,100,165

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Solution

The third proportional to 152,112,898.50 and 332,100,165 is: 725,056,985.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,112,898.50 : 332,100,165 = 332,100,165 : x
  2. Step 2: Convert to fraction form
    152,112,898.50/332,100,165 = 332,100,165/x
  3. Step 3: Cross multiply
    152,112,898.50x = 332,100,165 × 332,100,165
  4. Step 4: Simplify right side
    152,112,898.50x = 110,290,519,593,027,232
  5. Step 5: Solve for x
    x = 110,290,519,593,027,232/152,112,898.50
  6. Step 6: Final answer
    x = 725,056,985.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.