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Finding the Third Proportional to 154,147,880 and 363,761,402

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Solution

The third proportional to 154,147,880 and 363,761,402 is: 858,411,789.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,147,880 : 363,761,402 = 363,761,402 : x
  2. Step 2: Convert to fraction form
    154,147,880/363,761,402 = 363,761,402/x
  3. Step 3: Cross multiply
    154,147,880x = 363,761,402 × 363,761,402
  4. Step 4: Simplify right side
    154,147,880x = 132,322,357,585,005,600
  5. Step 5: Solve for x
    x = 132,322,357,585,005,600/154,147,880
  6. Step 6: Final answer
    x = 858,411,789.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.