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Finding the Third Proportional to 164,370,432 and 246,771,900

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Solution

The third proportional to 164,370,432 and 246,771,900 is: 370,482,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,370,432 : 246,771,900 = 246,771,900 : x
  2. Step 2: Convert to fraction form
    164,370,432/246,771,900 = 246,771,900/x
  3. Step 3: Cross multiply
    164,370,432x = 246,771,900 × 246,771,900
  4. Step 4: Simplify right side
    164,370,432x = 60,896,370,629,610,000
  5. Step 5: Solve for x
    x = 60,896,370,629,610,000/164,370,432
  6. Step 6: Final answer
    x = 370,482,512.51

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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.