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Finding the Third Proportional to 84,905,735 and 181,920,199

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Solution

The third proportional to 84,905,735 and 181,920,199 is: 389,784,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,735 : 181,920,199 = 181,920,199 : x
  2. Step 2: Convert to fraction form
    84,905,735/181,920,199 = 181,920,199/x
  3. Step 3: Cross multiply
    84,905,735x = 181,920,199 × 181,920,199
  4. Step 4: Simplify right side
    84,905,735x = 33,094,958,804,199,600
  5. Step 5: Solve for x
    x = 33,094,958,804,199,600/84,905,735
  6. Step 6: Final answer
    x = 389,784,727.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.