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Finding the Third Proportional to 236,178,256.50 and 515,336,535

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Solution

The third proportional to 236,178,256.50 and 515,336,535 is: 1,124,454,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,178,256.50 : 515,336,535 = 515,336,535 : x
  2. Step 2: Convert to fraction form
    236,178,256.50/515,336,535 = 515,336,535/x
  3. Step 3: Cross multiply
    236,178,256.50x = 515,336,535 × 515,336,535
  4. Step 4: Simplify right side
    236,178,256.50x = 265,571,744,305,806,240
  5. Step 5: Solve for x
    x = 265,571,744,305,806,240/236,178,256.50
  6. Step 6: Final answer
    x = 1,124,454,673.52

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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.