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Finding the Third Proportional to 219,763,382 and 457,612,366

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Solution

The third proportional to 219,763,382 and 457,612,366 is: 952,884,304.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,763,382 : 457,612,366 = 457,612,366 : x
  2. Step 2: Convert to fraction form
    219,763,382/457,612,366 = 457,612,366/x
  3. Step 3: Cross multiply
    219,763,382x = 457,612,366 × 457,612,366
  4. Step 4: Simplify right side
    219,763,382x = 209,409,077,516,117,952
  5. Step 5: Solve for x
    x = 209,409,077,516,117,952/219,763,382
  6. Step 6: Final answer
    x = 952,884,304.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.