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Finding the Third Proportional to 140,770,648 and 294,412,000

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Solution

The third proportional to 140,770,648 and 294,412,000 is: 615,742,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,770,648 : 294,412,000 = 294,412,000 : x
  2. Step 2: Convert to fraction form
    140,770,648/294,412,000 = 294,412,000/x
  3. Step 3: Cross multiply
    140,770,648x = 294,412,000 × 294,412,000
  4. Step 4: Simplify right side
    140,770,648x = 86,678,425,744,000,000
  5. Step 5: Solve for x
    x = 86,678,425,744,000,000/140,770,648
  6. Step 6: Final answer
    x = 615,742,180.46

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.