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Finding the Third Proportional to 109,965,789 and 163,046,661.75

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Solution

The third proportional to 109,965,789 and 163,046,661.75 is: 241,749,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,965,789 : 163,046,661.75 = 163,046,661.75 : x
  2. Step 2: Convert to fraction form
    109,965,789/163,046,661.75 = 163,046,661.75/x
  3. Step 3: Cross multiply
    109,965,789x = 163,046,661.75 × 163,046,661.75
  4. Step 4: Simplify right side
    109,965,789x = 26,584,213,907,818,912
  5. Step 5: Solve for x
    x = 26,584,213,907,818,912/109,965,789
  6. Step 6: Final answer
    x = 241,749,858.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.