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Finding the Third Proportional to 230,160,048 and 492,967,632

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Solution

The third proportional to 230,160,048 and 492,967,632 is: 1,055,861,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160,048 : 492,967,632 = 492,967,632 : x
  2. Step 2: Convert to fraction form
    230,160,048/492,967,632 = 492,967,632/x
  3. Step 3: Cross multiply
    230,160,048x = 492,967,632 × 492,967,632
  4. Step 4: Simplify right side
    230,160,048x = 243,017,086,199,687,424
  5. Step 5: Solve for x
    x = 243,017,086,199,687,424/230,160,048
  6. Step 6: Final answer
    x = 1,055,861,294.40

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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.