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Finding the Third Proportional to 160,210,144 and 328,913,512

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Solution

The third proportional to 160,210,144 and 328,913,512 is: 675,263,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,210,144 : 328,913,512 = 328,913,512 : x
  2. Step 2: Convert to fraction form
    160,210,144/328,913,512 = 328,913,512/x
  3. Step 3: Cross multiply
    160,210,144x = 328,913,512 × 328,913,512
  4. Step 4: Simplify right side
    160,210,144x = 108,184,098,376,174,144
  5. Step 5: Solve for x
    x = 108,184,098,376,174,144/160,210,144
  6. Step 6: Final answer
    x = 675,263,723.48

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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.