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Finding the Third Proportional to 184,096,492 and 285,844,900

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Solution

The third proportional to 184,096,492 and 285,844,900 is: 443,828,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,096,492 : 285,844,900 = 285,844,900 : x
  2. Step 2: Convert to fraction form
    184,096,492/285,844,900 = 285,844,900/x
  3. Step 3: Cross multiply
    184,096,492x = 285,844,900 × 285,844,900
  4. Step 4: Simplify right side
    184,096,492x = 81,707,306,856,010,000
  5. Step 5: Solve for x
    x = 81,707,306,856,010,000/184,096,492
  6. Step 6: Final answer
    x = 443,828,700.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.