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Finding the Third Proportional to 181,507,270.50 and 274,421,844

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Solution

The third proportional to 181,507,270.50 and 274,421,844 is: 414,899,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,507,270.50 : 274,421,844 = 274,421,844 : x
  2. Step 2: Convert to fraction form
    181,507,270.50/274,421,844 = 274,421,844/x
  3. Step 3: Cross multiply
    181,507,270.50x = 274,421,844 × 274,421,844
  4. Step 4: Simplify right side
    181,507,270.50x = 75,307,348,464,360,336
  5. Step 5: Solve for x
    x = 75,307,348,464,360,336/181,507,270.50
  6. Step 6: Final answer
    x = 414,899,900.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.