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Finding the Third Proportional to 145,257,757 and 311,238,410

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Solution

The third proportional to 145,257,757 and 311,238,410 is: 666,879,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,257,757 : 311,238,410 = 311,238,410 : x
  2. Step 2: Convert to fraction form
    145,257,757/311,238,410 = 311,238,410/x
  3. Step 3: Cross multiply
    145,257,757x = 311,238,410 × 311,238,410
  4. Step 4: Simplify right side
    145,257,757x = 96,869,347,859,328,096
  5. Step 5: Solve for x
    x = 96,869,347,859,328,096/145,257,757
  6. Step 6: Final answer
    x = 666,879,000.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.