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Finding the Third Proportional to 148,380,912 and 317,182,068

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Solution

The third proportional to 148,380,912 and 317,182,068 is: 678,014,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,380,912 : 317,182,068 = 317,182,068 : x
  2. Step 2: Convert to fraction form
    148,380,912/317,182,068 = 317,182,068/x
  3. Step 3: Cross multiply
    148,380,912x = 317,182,068 × 317,182,068
  4. Step 4: Simplify right side
    148,380,912x = 100,604,464,260,756,624
  5. Step 5: Solve for x
    x = 100,604,464,260,756,624/148,380,912
  6. Step 6: Final answer
    x = 678,014,866.63

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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.