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Finding the Third Proportional to 128,250,226 and 269,097,572

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Solution

The third proportional to 128,250,226 and 269,097,572 is: 564,626,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,250,226 : 269,097,572 = 269,097,572 : x
  2. Step 2: Convert to fraction form
    128,250,226/269,097,572 = 269,097,572/x
  3. Step 3: Cross multiply
    128,250,226x = 269,097,572 × 269,097,572
  4. Step 4: Simplify right side
    128,250,226x = 72,413,503,256,295,184
  5. Step 5: Solve for x
    x = 72,413,503,256,295,184/128,250,226
  6. Step 6: Final answer
    x = 564,626,710.73

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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.