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Finding the Third Proportional to 148,690,308.45 and 309,599,932.64

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Solution

The third proportional to 148,690,308.45 and 309,599,932.64 is: 644,642,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,690,308.45 : 309,599,932.64 = 309,599,932.64 : x
  2. Step 2: Convert to fraction form
    148,690,308.45/309,599,932.64 = 309,599,932.64/x
  3. Step 3: Cross multiply
    148,690,308.45x = 309,599,932.64 × 309,599,932.64
  4. Step 4: Simplify right side
    148,690,308.45x = 95,852,118,291,088,832
  5. Step 5: Solve for x
    x = 95,852,118,291,088,832/148,690,308.45
  6. Step 6: Final answer
    x = 644,642,675.73

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.