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Finding the Third Proportional to 118,611,977,302 and 180,693,092,228

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Solution

The third proportional to 118,611,977,302 and 180,693,092,228 is: 275,267,256,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,611,977,302 : 180,693,092,228 = 180,693,092,228 : x
  2. Step 2: Convert to fraction form
    118,611,977,302/180,693,092,228 = 180,693,092,228/x
  3. Step 3: Cross multiply
    118,611,977,302x = 180,693,092,228 × 180,693,092,228
  4. Step 4: Simplify right side
    118,611,977,302x = 32,649,993,578,916,515,676,160
  5. Step 5: Solve for x
    x = 32,649,993,578,916,515,676,160/118,611,977,302
  6. Step 6: Final answer
    x = 275,267,256,491.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.