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Finding the Third Proportional to 207,269,999,856 and 318,447,446,896.50

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Solution

The third proportional to 207,269,999,856 and 318,447,446,896.50 is: 489,259,306,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,269,999,856 : 318,447,446,896.50 = 318,447,446,896.50 : x
  2. Step 2: Convert to fraction form
    207,269,999,856/318,447,446,896.50 = 318,447,446,896.50/x
  3. Step 3: Cross multiply
    207,269,999,856x = 318,447,446,896.50 × 318,447,446,896.50
  4. Step 4: Simplify right side
    207,269,999,856x = 101,408,776,434,899,191,070,720
  5. Step 5: Solve for x
    x = 101,408,776,434,899,191,070,720/207,269,999,856
  6. Step 6: Final answer
    x = 489,259,306,727.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.