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Finding the Third Proportional to 129,314,698 and 282,331,993

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Solution

The third proportional to 129,314,698 and 282,331,993 is: 616,413,721.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,314,698 : 282,331,993 = 282,331,993 : x
  2. Step 2: Convert to fraction form
    129,314,698/282,331,993 = 282,331,993/x
  3. Step 3: Cross multiply
    129,314,698x = 282,331,993 × 282,331,993
  4. Step 4: Simplify right side
    129,314,698x = 79,711,354,271,352,048
  5. Step 5: Solve for x
    x = 79,711,354,271,352,048/129,314,698
  6. Step 6: Final answer
    x = 616,413,721.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.