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Finding the Third Proportional to 178,980,294 and 276,131,446

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Solution

The third proportional to 178,980,294 and 276,131,446 is: 426,016,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,980,294 : 276,131,446 = 276,131,446 : x
  2. Step 2: Convert to fraction form
    178,980,294/276,131,446 = 276,131,446/x
  3. Step 3: Cross multiply
    178,980,294x = 276,131,446 × 276,131,446
  4. Step 4: Simplify right side
    178,980,294x = 76,248,575,470,050,912
  5. Step 5: Solve for x
    x = 76,248,575,470,050,912/178,980,294
  6. Step 6: Final answer
    x = 426,016,595.27

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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.