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Finding the Third Proportional to 128,250,223 and 269,097,567

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Solution

The third proportional to 128,250,223 and 269,097,567 is: 564,626,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,250,223 : 269,097,567 = 269,097,567 : x
  2. Step 2: Convert to fraction form
    128,250,223/269,097,567 = 269,097,567/x
  3. Step 3: Cross multiply
    128,250,223x = 269,097,567 × 269,097,567
  4. Step 4: Simplify right side
    128,250,223x = 72,413,500,565,319,488
  5. Step 5: Solve for x
    x = 72,413,500,565,319,488/128,250,223
  6. Step 6: Final answer
    x = 564,626,702.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.