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Finding the Third Proportional to 164,370,416 and 246,771,876

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Solution

The third proportional to 164,370,416 and 246,771,876 is: 370,482,476.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,370,416 : 246,771,876 = 246,771,876 : x
  2. Step 2: Convert to fraction form
    164,370,416/246,771,876 = 246,771,876/x
  3. Step 3: Cross multiply
    164,370,416x = 246,771,876 × 246,771,876
  4. Step 4: Simplify right side
    164,370,416x = 60,896,358,784,559,376
  5. Step 5: Solve for x
    x = 60,896,358,784,559,376/164,370,416
  6. Step 6: Final answer
    x = 370,482,476.51

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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.