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Finding the Third Proportional to 306,986,145 and 472,336,069.50

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Solution

The third proportional to 306,986,145 and 472,336,069.50 is: 726,747,334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,986,145 : 472,336,069.50 = 472,336,069.50 : x
  2. Step 2: Convert to fraction form
    306,986,145/472,336,069.50 = 472,336,069.50/x
  3. Step 3: Cross multiply
    306,986,145x = 472,336,069.50 × 472,336,069.50
  4. Step 4: Simplify right side
    306,986,145x = 223,101,362,550,708,832
  5. Step 5: Solve for x
    x = 223,101,362,550,708,832/306,986,145
  6. Step 6: Final answer
    x = 726,747,334.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.