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Finding the Third Proportional to 178,819,968 and 273,362,400

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Solution

The third proportional to 178,819,968 and 273,362,400 is: 417,889,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,819,968 : 273,362,400 = 273,362,400 : x
  2. Step 2: Convert to fraction form
    178,819,968/273,362,400 = 273,362,400/x
  3. Step 3: Cross multiply
    178,819,968x = 273,362,400 × 273,362,400
  4. Step 4: Simplify right side
    178,819,968x = 74,727,001,733,760,000
  5. Step 5: Solve for x
    x = 74,727,001,733,760,000/178,819,968
  6. Step 6: Final answer
    x = 417,889,582.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.