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Finding the Third Proportional to 199,525,816 and 466,182,335

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Solution

The third proportional to 199,525,816 and 466,182,335 is: 1,089,212,282.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,525,816 : 466,182,335 = 466,182,335 : x
  2. Step 2: Convert to fraction form
    199,525,816/466,182,335 = 466,182,335/x
  3. Step 3: Cross multiply
    199,525,816x = 466,182,335 × 466,182,335
  4. Step 4: Simplify right side
    199,525,816x = 217,325,969,466,052,224
  5. Step 5: Solve for x
    x = 217,325,969,466,052,224/199,525,816
  6. Step 6: Final answer
    x = 1,089,212,282.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.