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Finding the Third Proportional to 105,854,148 and 229,297,980

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Solution

The third proportional to 105,854,148 and 229,297,980 is: 496,698,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,854,148 : 229,297,980 = 229,297,980 : x
  2. Step 2: Convert to fraction form
    105,854,148/229,297,980 = 229,297,980/x
  3. Step 3: Cross multiply
    105,854,148x = 229,297,980 × 229,297,980
  4. Step 4: Simplify right side
    105,854,148x = 52,577,563,632,080,400
  5. Step 5: Solve for x
    x = 52,577,563,632,080,400/105,854,148
  6. Step 6: Final answer
    x = 496,698,189.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.