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Finding the Third Proportional to 123,357,923.25 and 274,289,380.50

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Solution

The third proportional to 123,357,923.25 and 274,289,380.50 is: 609,889,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,357,923.25 : 274,289,380.50 = 274,289,380.50 : x
  2. Step 2: Convert to fraction form
    123,357,923.25/274,289,380.50 = 274,289,380.50/x
  3. Step 3: Cross multiply
    123,357,923.25x = 274,289,380.50 × 274,289,380.50
  4. Step 4: Simplify right side
    123,357,923.25x = 75,234,664,255,073,776
  5. Step 5: Solve for x
    x = 75,234,664,255,073,776/123,357,923.25
  6. Step 6: Final answer
    x = 609,889,192.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.