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Finding the Third Proportional to 147,901,268 and 230,805,570

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Solution

The third proportional to 147,901,268 and 230,805,570 is: 360,180,895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,901,268 : 230,805,570 = 230,805,570 : x
  2. Step 2: Convert to fraction form
    147,901,268/230,805,570 = 230,805,570/x
  3. Step 3: Cross multiply
    147,901,268x = 230,805,570 × 230,805,570
  4. Step 4: Simplify right side
    147,901,268x = 53,271,211,143,024,896
  5. Step 5: Solve for x
    x = 53,271,211,143,024,896/147,901,268
  6. Step 6: Final answer
    x = 360,180,895.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.