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Finding the Third Proportional to 223,034,188.50 and 483,129,778.50

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Solution

The third proportional to 223,034,188.50 and 483,129,778.50 is: 1,046,540,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,034,188.50 : 483,129,778.50 = 483,129,778.50 : x
  2. Step 2: Convert to fraction form
    223,034,188.50/483,129,778.50 = 483,129,778.50/x
  3. Step 3: Cross multiply
    223,034,188.50x = 483,129,778.50 × 483,129,778.50
  4. Step 4: Simplify right side
    223,034,188.50x = 233,414,382,873,459,072
  5. Step 5: Solve for x
    x = 233,414,382,873,459,072/223,034,188.50
  6. Step 6: Final answer
    x = 1,046,540,821.58

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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.