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Finding the Third Proportional to 120,743,767 and 188,290,106

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Solution

The third proportional to 120,743,767 and 188,290,106 is: 293,623,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,743,767 : 188,290,106 = 188,290,106 : x
  2. Step 2: Convert to fraction form
    120,743,767/188,290,106 = 188,290,106/x
  3. Step 3: Cross multiply
    120,743,767x = 188,290,106 × 188,290,106
  4. Step 4: Simplify right side
    120,743,767x = 35,453,164,017,491,236
  5. Step 5: Solve for x
    x = 35,453,164,017,491,236/120,743,767
  6. Step 6: Final answer
    x = 293,623,140.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.