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Finding the Third Proportional to 230,991,190 and 513,628,371

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Solution

The third proportional to 230,991,190 and 513,628,371 is: 1,142,095,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,991,190 : 513,628,371 = 513,628,371 : x
  2. Step 2: Convert to fraction form
    230,991,190/513,628,371 = 513,628,371/x
  3. Step 3: Cross multiply
    230,991,190x = 513,628,371 × 513,628,371
  4. Step 4: Simplify right side
    230,991,190x = 263,814,103,496,113,632
  5. Step 5: Solve for x
    x = 263,814,103,496,113,632/230,991,190
  6. Step 6: Final answer
    x = 1,142,095,953.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.