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Finding the Third Proportional to 113,533,600 and 248,561,024

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Solution

The third proportional to 113,533,600 and 248,561,024 is: 544,178,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,533,600 : 248,561,024 = 248,561,024 : x
  2. Step 2: Convert to fraction form
    113,533,600/248,561,024 = 248,561,024/x
  3. Step 3: Cross multiply
    113,533,600x = 248,561,024 × 248,561,024
  4. Step 4: Simplify right side
    113,533,600x = 61,782,582,651,928,576
  5. Step 5: Solve for x
    x = 61,782,582,651,928,576/113,533,600
  6. Step 6: Final answer
    x = 544,178,839.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.