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Finding the Third Proportional to 54,968,016 and 114,457,468.50

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Solution

The third proportional to 54,968,016 and 114,457,468.50 is: 238,329,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,968,016 : 114,457,468.50 = 114,457,468.50 : x
  2. Step 2: Convert to fraction form
    54,968,016/114,457,468.50 = 114,457,468.50/x
  3. Step 3: Cross multiply
    54,968,016x = 114,457,468.50 × 114,457,468.50
  4. Step 4: Simplify right side
    54,968,016x = 13,100,512,095,428,492
  5. Step 5: Solve for x
    x = 13,100,512,095,428,492/54,968,016
  6. Step 6: Final answer
    x = 238,329,724.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.