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Finding the Third Proportional to 160,210,100 and 328,913,419

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Solution

The third proportional to 160,210,100 and 328,913,419 is: 675,263,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,210,100 : 328,913,419 = 328,913,419 : x
  2. Step 2: Convert to fraction form
    160,210,100/328,913,419 = 328,913,419/x
  3. Step 3: Cross multiply
    160,210,100x = 328,913,419 × 328,913,419
  4. Step 4: Simplify right side
    160,210,100x = 108,184,037,198,269,568
  5. Step 5: Solve for x
    x = 108,184,037,198,269,568/160,210,100
  6. Step 6: Final answer
    x = 675,263,527.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.