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Finding the Third Proportional to 143,978,485.50 and 231,852,800.25

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Solution

The third proportional to 143,978,485.50 and 231,852,800.25 is: 373,359,400.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,978,485.50 : 231,852,800.25 = 231,852,800.25 : x
  2. Step 2: Convert to fraction form
    143,978,485.50/231,852,800.25 = 231,852,800.25/x
  3. Step 3: Cross multiply
    143,978,485.50x = 231,852,800.25 × 231,852,800.25
  4. Step 4: Simplify right side
    143,978,485.50x = 53,755,720,983,766,400
  5. Step 5: Solve for x
    x = 53,755,720,983,766,400/143,978,485.50
  6. Step 6: Final answer
    x = 373,359,400.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.