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Finding the Third Proportional to 106,398,589.50 and 229,210,614

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Solution

The third proportional to 106,398,589.50 and 229,210,614 is: 493,780,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398,589.50 : 229,210,614 = 229,210,614 : x
  2. Step 2: Convert to fraction form
    106,398,589.50/229,210,614 = 229,210,614/x
  3. Step 3: Cross multiply
    106,398,589.50x = 229,210,614 × 229,210,614
  4. Step 4: Simplify right side
    106,398,589.50x = 52,537,505,570,256,992
  5. Step 5: Solve for x
    x = 52,537,505,570,256,992/106,398,589.50
  6. Step 6: Final answer
    x = 493,780,094.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.