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Finding the Third Proportional to 178,525,687.50 and 275,747,640.19

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Solution

The third proportional to 178,525,687.50 and 275,747,640.19 is: 425,914,960.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,525,687.50 : 275,747,640.19 = 275,747,640.19 : x
  2. Step 2: Convert to fraction form
    178,525,687.50/275,747,640.19 = 275,747,640.19/x
  3. Step 3: Cross multiply
    178,525,687.50x = 275,747,640.19 × 275,747,640.19
  4. Step 4: Simplify right side
    178,525,687.50x = 76,036,761,068,974,960
  5. Step 5: Solve for x
    x = 76,036,761,068,974,960/178,525,687.50
  6. Step 6: Final answer
    x = 425,914,960.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.