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Finding the Third Proportional to 69,033,982,459.50 and 161,294,532,448.50

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Solution

The third proportional to 69,033,982,459.50 and 161,294,532,448.50 is: 376,856,806,907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,033,982,459.50 : 161,294,532,448.50 = 161,294,532,448.50 : x
  2. Step 2: Convert to fraction form
    69,033,982,459.50/161,294,532,448.50 = 161,294,532,448.50/x
  3. Step 3: Cross multiply
    69,033,982,459.50x = 161,294,532,448.50 × 161,294,532,448.50
  4. Step 4: Simplify right side
    69,033,982,459.50x = 26,015,926,197,780,217,856,000
  5. Step 5: Solve for x
    x = 26,015,926,197,780,217,856,000/69,033,982,459.50
  6. Step 6: Final answer
    x = 376,856,806,907.28

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.