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Finding the Third Proportional to 178,911,296 and 390,210,624

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Solution

The third proportional to 178,911,296 and 390,210,624 is: 851,060,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,911,296 : 390,210,624 = 390,210,624 : x
  2. Step 2: Convert to fraction form
    178,911,296/390,210,624 = 390,210,624/x
  3. Step 3: Cross multiply
    178,911,296x = 390,210,624 × 390,210,624
  4. Step 4: Simplify right side
    178,911,296x = 152,264,331,082,469,376
  5. Step 5: Solve for x
    x = 152,264,331,082,469,376/178,911,296
  6. Step 6: Final answer
    x = 851,060,466.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.