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Finding the Third Proportional to 190,867,660,584 and 415,245,985,332

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Solution

The third proportional to 190,867,660,584 and 415,245,985,332 is: 903,396,771,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,867,660,584 : 415,245,985,332 = 415,245,985,332 : x
  2. Step 2: Convert to fraction form
    190,867,660,584/415,245,985,332 = 415,245,985,332/x
  3. Step 3: Cross multiply
    190,867,660,584x = 415,245,985,332 × 415,245,985,332
  4. Step 4: Simplify right side
    190,867,660,584x = 172,429,228,334,343,560,101,888
  5. Step 5: Solve for x
    x = 172,429,228,334,343,560,101,888/190,867,660,584
  6. Step 6: Final answer
    x = 903,396,771,389.98

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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.