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Finding the Third Proportional to 65,473,164 and 91,035,201

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Solution

The third proportional to 65,473,164 and 91,035,201 is: 126,577,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473,164 : 91,035,201 = 91,035,201 : x
  2. Step 2: Convert to fraction form
    65,473,164/91,035,201 = 91,035,201/x
  3. Step 3: Cross multiply
    65,473,164x = 91,035,201 × 91,035,201
  4. Step 4: Simplify right side
    65,473,164x = 8,287,407,821,110,401
  5. Step 5: Solve for x
    x = 8,287,407,821,110,401/65,473,164
  6. Step 6: Final answer
    x = 126,577,170.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.