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Finding the Third Proportional to 41,781,706.88 and 91,634,667.19

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Solution

The third proportional to 41,781,706.88 and 91,634,667.19 is: 200,971,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781,706.88 : 91,634,667.19 = 91,634,667.19 : x
  2. Step 2: Convert to fraction form
    41,781,706.88/91,634,667.19 = 91,634,667.19/x
  3. Step 3: Cross multiply
    41,781,706.88x = 91,634,667.19 × 91,634,667.19
  4. Step 4: Simplify right side
    41,781,706.88x = 8,396,912,230,563,889
  5. Step 5: Solve for x
    x = 8,396,912,230,563,889/41,781,706.88
  6. Step 6: Final answer
    x = 200,971,019.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.