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Finding the Third Proportional to 249,650,235 and 397,593,022.50

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Solution

The third proportional to 249,650,235 and 397,593,022.50 is: 633,206,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,650,235 : 397,593,022.50 = 397,593,022.50 : x
  2. Step 2: Convert to fraction form
    249,650,235/397,593,022.50 = 397,593,022.50/x
  3. Step 3: Cross multiply
    249,650,235x = 397,593,022.50 × 397,593,022.50
  4. Step 4: Simplify right side
    249,650,235x = 158,080,211,540,685,504
  5. Step 5: Solve for x
    x = 158,080,211,540,685,504/249,650,235
  6. Step 6: Final answer
    x = 633,206,740.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.