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Finding the Third Proportional to 388,700,197 and 596,041,930.50

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Solution

The third proportional to 388,700,197 and 596,041,930.50 is: 913,984,571.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,700,197 : 596,041,930.50 = 596,041,930.50 : x
  2. Step 2: Convert to fraction form
    388,700,197/596,041,930.50 = 596,041,930.50/x
  3. Step 3: Cross multiply
    388,700,197x = 596,041,930.50 × 596,041,930.50
  4. Step 4: Simplify right side
    388,700,197x = 355,265,982,914,166,848
  5. Step 5: Solve for x
    x = 355,265,982,914,166,848/388,700,197
  6. Step 6: Final answer
    x = 913,984,571.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.