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Finding the Third Proportional to 299,145,719 and 447,522,754.50

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Solution

The third proportional to 299,145,719 and 447,522,754.50 is: 669,495,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,145,719 : 447,522,754.50 = 447,522,754.50 : x
  2. Step 2: Convert to fraction form
    299,145,719/447,522,754.50 = 447,522,754.50/x
  3. Step 3: Cross multiply
    299,145,719x = 447,522,754.50 × 447,522,754.50
  4. Step 4: Simplify right side
    299,145,719x = 200,276,615,795,267,264
  5. Step 5: Solve for x
    x = 200,276,615,795,267,264/299,145,719
  6. Step 6: Final answer
    x = 669,495,176.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.