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Finding the Third Proportional to 204,693,804 and 483,212,628

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Solution

The third proportional to 204,693,804 and 483,212,628 is: 1,140,701,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,693,804 : 483,212,628 = 483,212,628 : x
  2. Step 2: Convert to fraction form
    204,693,804/483,212,628 = 483,212,628/x
  3. Step 3: Cross multiply
    204,693,804x = 483,212,628 × 483,212,628
  4. Step 4: Simplify right side
    204,693,804x = 233,494,443,858,666,368
  5. Step 5: Solve for x
    x = 233,494,443,858,666,368/204,693,804
  6. Step 6: Final answer
    x = 1,140,701,082.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.