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Finding the Third Proportional to 181,900,622.25 and 279,597,262.50

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Solution

The third proportional to 181,900,622.25 and 279,597,262.50 is: 429,765,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,900,622.25 : 279,597,262.50 = 279,597,262.50 : x
  2. Step 2: Convert to fraction form
    181,900,622.25/279,597,262.50 = 279,597,262.50/x
  3. Step 3: Cross multiply
    181,900,622.25x = 279,597,262.50 × 279,597,262.50
  4. Step 4: Simplify right side
    181,900,622.25x = 78,174,629,197,493,904
  5. Step 5: Solve for x
    x = 78,174,629,197,493,904/181,900,622.25
  6. Step 6: Final answer
    x = 429,765,595.25

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.