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Finding the Third Proportional to 160,271,232 and 239,463,378

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Solution

The third proportional to 160,271,232 and 239,463,378 is: 357,785,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,271,232 : 239,463,378 = 239,463,378 : x
  2. Step 2: Convert to fraction form
    160,271,232/239,463,378 = 239,463,378/x
  3. Step 3: Cross multiply
    160,271,232x = 239,463,378 × 239,463,378
  4. Step 4: Simplify right side
    160,271,232x = 57,342,709,403,170,880
  5. Step 5: Solve for x
    x = 57,342,709,403,170,880/160,271,232
  6. Step 6: Final answer
    x = 357,785,415.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.