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Finding the Third Proportional to 159,707,664 and 326,983,200

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Solution

The third proportional to 159,707,664 and 326,983,200 is: 669,460,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,707,664 : 326,983,200 = 326,983,200 : x
  2. Step 2: Convert to fraction form
    159,707,664/326,983,200 = 326,983,200/x
  3. Step 3: Cross multiply
    159,707,664x = 326,983,200 × 326,983,200
  4. Step 4: Simplify right side
    159,707,664x = 106,918,013,082,240,000
  5. Step 5: Solve for x
    x = 106,918,013,082,240,000/159,707,664
  6. Step 6: Final answer
    x = 669,460,753.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.