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Finding the Third Proportional to 264,846,230 and 413,362,043

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Solution

The third proportional to 264,846,230 and 413,362,043 is: 645,159,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,846,230 : 413,362,043 = 413,362,043 : x
  2. Step 2: Convert to fraction form
    264,846,230/413,362,043 = 413,362,043/x
  3. Step 3: Cross multiply
    264,846,230x = 413,362,043 × 413,362,043
  4. Step 4: Simplify right side
    264,846,230x = 170,868,178,593,133,856
  5. Step 5: Solve for x
    x = 170,868,178,593,133,856/264,846,230
  6. Step 6: Final answer
    x = 645,159,942.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.