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Finding the Third Proportional to 223,034,227.50 and 483,129,842.25

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Solution

The third proportional to 223,034,227.50 and 483,129,842.25 is: 1,046,540,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,034,227.50 : 483,129,842.25 = 483,129,842.25 : x
  2. Step 2: Convert to fraction form
    223,034,227.50/483,129,842.25 = 483,129,842.25/x
  3. Step 3: Cross multiply
    223,034,227.50x = 483,129,842.25 × 483,129,842.25
  4. Step 4: Simplify right side
    223,034,227.50x = 233,414,444,472,509,888
  5. Step 5: Solve for x
    x = 233,414,444,472,509,888/223,034,227.50
  6. Step 6: Final answer
    x = 1,046,540,914.77

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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.