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Finding the Third Proportional to 102,762,485.75 and 148,474,040.25

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Solution

The third proportional to 102,762,485.75 and 148,474,040.25 is: 214,519,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762,485.75 : 148,474,040.25 = 148,474,040.25 : x
  2. Step 2: Convert to fraction form
    102,762,485.75/148,474,040.25 = 148,474,040.25/x
  3. Step 3: Cross multiply
    102,762,485.75x = 148,474,040.25 × 148,474,040.25
  4. Step 4: Simplify right side
    102,762,485.75x = 22,044,540,628,158,620
  5. Step 5: Solve for x
    x = 22,044,540,628,158,620/102,762,485.75
  6. Step 6: Final answer
    x = 214,519,340.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.