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Finding the Third Proportional to 258,411,993 and 397,197,130.50

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Solution

The third proportional to 258,411,993 and 397,197,130.50 is: 610,519,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,411,993 : 397,197,130.50 = 397,197,130.50 : x
  2. Step 2: Convert to fraction form
    258,411,993/397,197,130.50 = 397,197,130.50/x
  3. Step 3: Cross multiply
    258,411,993x = 397,197,130.50 × 397,197,130.50
  4. Step 4: Simplify right side
    258,411,993x = 157,765,560,477,434,016
  5. Step 5: Solve for x
    x = 157,765,560,477,434,016/258,411,993
  6. Step 6: Final answer
    x = 610,519,498.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.