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Finding the Third Proportional to 51,009,499 and 109,296,173

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Solution

The third proportional to 51,009,499 and 109,296,173 is: 234,184,880.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009,499 : 109,296,173 = 109,296,173 : x
  2. Step 2: Convert to fraction form
    51,009,499/109,296,173 = 109,296,173/x
  3. Step 3: Cross multiply
    51,009,499x = 109,296,173 × 109,296,173
  4. Step 4: Simplify right side
    51,009,499x = 11,945,653,432,445,928
  5. Step 5: Solve for x
    x = 11,945,653,432,445,928/51,009,499
  6. Step 6: Final answer
    x = 234,184,880.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.