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Finding the Third Proportional to 160,210,108 and 328,913,432

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Solution

The third proportional to 160,210,108 and 328,913,432 is: 675,263,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,210,108 : 328,913,432 = 328,913,432 : x
  2. Step 2: Convert to fraction form
    160,210,108/328,913,432 = 328,913,432/x
  3. Step 3: Cross multiply
    160,210,108x = 328,913,432 × 328,913,432
  4. Step 4: Simplify right side
    160,210,108x = 108,184,045,750,018,624
  5. Step 5: Solve for x
    x = 108,184,045,750,018,624/160,210,108
  6. Step 6: Final answer
    x = 675,263,546.73

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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.