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Finding the Third Proportional to 203,787,345 and 430,576,290

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Solution

The third proportional to 203,787,345 and 430,576,290 is: 909,751,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,787,345 : 430,576,290 = 430,576,290 : x
  2. Step 2: Convert to fraction form
    203,787,345/430,576,290 = 430,576,290/x
  3. Step 3: Cross multiply
    203,787,345x = 430,576,290 × 430,576,290
  4. Step 4: Simplify right side
    203,787,345x = 185,395,941,510,164,096
  5. Step 5: Solve for x
    x = 185,395,941,510,164,096/203,787,345
  6. Step 6: Final answer
    x = 909,751,984.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.