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Finding the Third Proportional to 264,521,214 and 369,977,019.75

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Solution

The third proportional to 264,521,214 and 369,977,019.75 is: 517,474,546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,521,214 : 369,977,019.75 = 369,977,019.75 : x
  2. Step 2: Convert to fraction form
    264,521,214/369,977,019.75 = 369,977,019.75/x
  3. Step 3: Cross multiply
    264,521,214x = 369,977,019.75 × 369,977,019.75
  4. Step 4: Simplify right side
    264,521,214x = 136,882,995,143,091,888
  5. Step 5: Solve for x
    x = 136,882,995,143,091,888/264,521,214
  6. Step 6: Final answer
    x = 517,474,546.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.