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Finding the Third Proportional to 183,673,728,112 and 285,180,973,230

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Solution

The third proportional to 183,673,728,112 and 285,180,973,230 is: 442,786,174,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,673,728,112 : 285,180,973,230 = 285,180,973,230 : x
  2. Step 2: Convert to fraction form
    183,673,728,112/285,180,973,230 = 285,180,973,230/x
  3. Step 3: Cross multiply
    183,673,728,112x = 285,180,973,230 × 285,180,973,230
  4. Step 4: Simplify right side
    183,673,728,112x = 81,328,187,492,409,968,427,008
  5. Step 5: Solve for x
    x = 81,328,187,492,409,968,427,008/183,673,728,112
  6. Step 6: Final answer
    x = 442,786,174,856.85

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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.