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Finding the Third Proportional to 86,749,401 and 115,652,965.50

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Solution

The third proportional to 86,749,401 and 115,652,965.50 is: 154,186,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,749,401 : 115,652,965.50 = 115,652,965.50 : x
  2. Step 2: Convert to fraction form
    86,749,401/115,652,965.50 = 115,652,965.50/x
  3. Step 3: Cross multiply
    86,749,401x = 115,652,965.50 × 115,652,965.50
  4. Step 4: Simplify right side
    86,749,401x = 13,375,608,428,944,190
  5. Step 5: Solve for x
    x = 13,375,608,428,944,190/86,749,401
  6. Step 6: Final answer
    x = 154,186,752.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.