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Finding the Third Proportional to 190,867,660,580 and 415,245,985,324

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Solution

The third proportional to 190,867,660,580 and 415,245,985,324 is: 903,396,771,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,867,660,580 : 415,245,985,324 = 415,245,985,324 : x
  2. Step 2: Convert to fraction form
    190,867,660,580/415,245,985,324 = 415,245,985,324/x
  3. Step 3: Cross multiply
    190,867,660,580x = 415,245,985,324 × 415,245,985,324
  4. Step 4: Simplify right side
    190,867,660,580x = 172,429,228,327,699,614,793,728
  5. Step 5: Solve for x
    x = 172,429,228,327,699,614,793,728/190,867,660,580
  6. Step 6: Final answer
    x = 903,396,771,374.10

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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.