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Finding the Third Proportional to 86,200,362 and 129,173,832

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Solution

The third proportional to 86,200,362 and 129,173,832 is: 193,570,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,200,362 : 129,173,832 = 129,173,832 : x
  2. Step 2: Convert to fraction form
    86,200,362/129,173,832 = 129,173,832/x
  3. Step 3: Cross multiply
    86,200,362x = 129,173,832 × 129,173,832
  4. Step 4: Simplify right side
    86,200,362x = 16,685,878,873,564,224
  5. Step 5: Solve for x
    x = 16,685,878,873,564,224/86,200,362
  6. Step 6: Final answer
    x = 193,570,867.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.