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Finding the Third Proportional to 195,137,802 and 385,340,436

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Solution

The third proportional to 195,137,802 and 385,340,436 is: 760,935,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,137,802 : 385,340,436 = 385,340,436 : x
  2. Step 2: Convert to fraction form
    195,137,802/385,340,436 = 385,340,436/x
  3. Step 3: Cross multiply
    195,137,802x = 385,340,436 × 385,340,436
  4. Step 4: Simplify right side
    195,137,802x = 148,487,251,616,670,080
  5. Step 5: Solve for x
    x = 148,487,251,616,670,080/195,137,802
  6. Step 6: Final answer
    x = 760,935,349.76

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.