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Finding the Third Proportional to 230,548,442 and 494,046,224

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Solution

The third proportional to 230,548,442 and 494,046,224 is: 1,058,700,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,548,442 : 494,046,224 = 494,046,224 : x
  2. Step 2: Convert to fraction form
    230,548,442/494,046,224 = 494,046,224/x
  3. Step 3: Cross multiply
    230,548,442x = 494,046,224 × 494,046,224
  4. Step 4: Simplify right side
    230,548,442x = 244,081,671,448,658,176
  5. Step 5: Solve for x
    x = 244,081,671,448,658,176/230,548,442
  6. Step 6: Final answer
    x = 1,058,700,155.73

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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.