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Finding the Third Proportional to 126,982,680 and 178,820,442

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Solution

The third proportional to 126,982,680 and 178,820,442 is: 251,819,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,982,680 : 178,820,442 = 178,820,442 : x
  2. Step 2: Convert to fraction form
    126,982,680/178,820,442 = 178,820,442/x
  3. Step 3: Cross multiply
    126,982,680x = 178,820,442 × 178,820,442
  4. Step 4: Simplify right side
    126,982,680x = 31,976,750,477,075,364
  5. Step 5: Solve for x
    x = 31,976,750,477,075,364/126,982,680
  6. Step 6: Final answer
    x = 251,819,779.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.