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Finding the Third Proportional to 213,782,132 and 457,797,352

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Solution

The third proportional to 213,782,132 and 457,797,352 is: 980,336,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,782,132 : 457,797,352 = 457,797,352 : x
  2. Step 2: Convert to fraction form
    213,782,132/457,797,352 = 457,797,352/x
  3. Step 3: Cross multiply
    213,782,132x = 457,797,352 × 457,797,352
  4. Step 4: Simplify right side
    213,782,132x = 209,578,415,498,211,904
  5. Step 5: Solve for x
    x = 209,578,415,498,211,904/213,782,132
  6. Step 6: Final answer
    x = 980,336,445.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.