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Finding the Third Proportional to 96,112,056 and 209,689,274

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Solution

The third proportional to 96,112,056 and 209,689,274 is: 457,482,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,112,056 : 209,689,274 = 209,689,274 : x
  2. Step 2: Convert to fraction form
    96,112,056/209,689,274 = 209,689,274/x
  3. Step 3: Cross multiply
    96,112,056x = 209,689,274 × 209,689,274
  4. Step 4: Simplify right side
    96,112,056x = 43,969,591,630,647,072
  5. Step 5: Solve for x
    x = 43,969,591,630,647,072/96,112,056
  6. Step 6: Final answer
    x = 457,482,582.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.