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Finding the Third Proportional to 164,370,408 and 246,771,864

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Solution

The third proportional to 164,370,408 and 246,771,864 is: 370,482,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,370,408 : 246,771,864 = 246,771,864 : x
  2. Step 2: Convert to fraction form
    164,370,408/246,771,864 = 246,771,864/x
  3. Step 3: Cross multiply
    164,370,408x = 246,771,864 × 246,771,864
  4. Step 4: Simplify right side
    164,370,408x = 60,896,352,862,034,496
  5. Step 5: Solve for x
    x = 60,896,352,862,034,496/164,370,408
  6. Step 6: Final answer
    x = 370,482,458.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.