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Finding the Third Proportional to 230,548,496 and 494,046,334

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Solution

The third proportional to 230,548,496 and 494,046,334 is: 1,058,700,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,548,496 : 494,046,334 = 494,046,334 : x
  2. Step 2: Convert to fraction form
    230,548,496/494,046,334 = 494,046,334/x
  3. Step 3: Cross multiply
    230,548,496x = 494,046,334 × 494,046,334
  4. Step 4: Simplify right side
    230,548,496x = 244,081,780,138,839,552
  5. Step 5: Solve for x
    x = 244,081,780,138,839,552/230,548,496
  6. Step 6: Final answer
    x = 1,058,700,379.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.