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Finding the Third Proportional to 190,867,660,577 and 415,245,985,317

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Solution

The third proportional to 190,867,660,577 and 415,245,985,317 is: 903,396,771,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,867,660,577 : 415,245,985,317 = 415,245,985,317 : x
  2. Step 2: Convert to fraction form
    190,867,660,577/415,245,985,317 = 415,245,985,317/x
  3. Step 3: Cross multiply
    190,867,660,577x = 415,245,985,317 × 415,245,985,317
  4. Step 4: Simplify right side
    190,867,660,577x = 172,429,228,321,886,175,232,000
  5. Step 5: Solve for x
    x = 172,429,228,321,886,175,232,000/190,867,660,577
  6. Step 6: Final answer
    x = 903,396,771,357.84

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