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Finding the Third Proportional to 182,156,768 and 393,397,760

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Solution

The third proportional to 182,156,768 and 393,397,760 is: 849,607,726.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,156,768 : 393,397,760 = 393,397,760 : x
  2. Step 2: Convert to fraction form
    182,156,768/393,397,760 = 393,397,760/x
  3. Step 3: Cross multiply
    182,156,768x = 393,397,760 × 393,397,760
  4. Step 4: Simplify right side
    182,156,768x = 154,761,797,573,017,600
  5. Step 5: Solve for x
    x = 154,761,797,573,017,600/182,156,768
  6. Step 6: Final answer
    x = 849,607,726.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.