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Finding the Third Proportional to 203,787,352 and 430,576,304

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Solution

The third proportional to 203,787,352 and 430,576,304 is: 909,752,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,787,352 : 430,576,304 = 430,576,304 : x
  2. Step 2: Convert to fraction form
    203,787,352/430,576,304 = 430,576,304/x
  3. Step 3: Cross multiply
    203,787,352x = 430,576,304 × 430,576,304
  4. Step 4: Simplify right side
    203,787,352x = 185,395,953,566,300,416
  5. Step 5: Solve for x
    x = 185,395,953,566,300,416/203,787,352
  6. Step 6: Final answer
    x = 909,752,012.31

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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.