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Finding the Third Proportional to 178,996,602 and 276,159,177

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Solution

The third proportional to 178,996,602 and 276,159,177 is: 426,063,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,996,602 : 276,159,177 = 276,159,177 : x
  2. Step 2: Convert to fraction form
    178,996,602/276,159,177 = 276,159,177/x
  3. Step 3: Cross multiply
    178,996,602x = 276,159,177 × 276,159,177
  4. Step 4: Simplify right side
    178,996,602x = 76,263,891,041,317,328
  5. Step 5: Solve for x
    x = 76,263,891,041,317,328/178,996,602
  6. Step 6: Final answer
    x = 426,063,345.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.