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Finding the Third Proportional to 236,197,732.50 and 515,043,594

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Solution

The third proportional to 236,197,732.50 and 515,043,594 is: 1,123,084,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,197,732.50 : 515,043,594 = 515,043,594 : x
  2. Step 2: Convert to fraction form
    236,197,732.50/515,043,594 = 515,043,594/x
  3. Step 3: Cross multiply
    236,197,732.50x = 515,043,594 × 515,043,594
  4. Step 4: Simplify right side
    236,197,732.50x = 265,269,903,720,436,832
  5. Step 5: Solve for x
    x = 265,269,903,720,436,832/236,197,732.50
  6. Step 6: Final answer
    x = 1,123,084,040.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.