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Finding the Third Proportional to 223,808,836.64 and 481,629,897.28

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Solution

The third proportional to 223,808,836.64 and 481,629,897.28 is: 1,036,453,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,808,836.64 : 481,629,897.28 = 481,629,897.28 : x
  2. Step 2: Convert to fraction form
    223,808,836.64/481,629,897.28 = 481,629,897.28/x
  3. Step 3: Cross multiply
    223,808,836.64x = 481,629,897.28 × 481,629,897.28
  4. Step 4: Simplify right side
    223,808,836.64x = 231,967,357,955,147,424
  5. Step 5: Solve for x
    x = 231,967,357,955,147,424/223,808,836.64
  6. Step 6: Final answer
    x = 1,036,453,079.50

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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.