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Finding the Third Proportional to 87,524,068 and 190,460,168

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Solution

The third proportional to 87,524,068 and 190,460,168 is: 414,458,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524,068 : 190,460,168 = 190,460,168 : x
  2. Step 2: Convert to fraction form
    87,524,068/190,460,168 = 190,460,168/x
  3. Step 3: Cross multiply
    87,524,068x = 190,460,168 × 190,460,168
  4. Step 4: Simplify right side
    87,524,068x = 36,275,075,594,588,224
  5. Step 5: Solve for x
    x = 36,275,075,594,588,224/87,524,068
  6. Step 6: Final answer
    x = 414,458,290.43

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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.