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Finding the Third Proportional to 223,034,222.25 and 483,129,832.50

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Solution

The third proportional to 223,034,222.25 and 483,129,832.50 is: 1,046,540,897.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,034,222.25 : 483,129,832.50 = 483,129,832.50 : x
  2. Step 2: Convert to fraction form
    223,034,222.25/483,129,832.50 = 483,129,832.50/x
  3. Step 3: Cross multiply
    223,034,222.25x = 483,129,832.50 × 483,129,832.50
  4. Step 4: Simplify right side
    223,034,222.25x = 233,414,435,051,478,048
  5. Step 5: Solve for x
    x = 233,414,435,051,478,048/223,034,222.25
  6. Step 6: Final answer
    x = 1,046,540,897.16

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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.