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Finding the Third Proportional to 188,784,908 and 411,885,304

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Solution

The third proportional to 188,784,908 and 411,885,304 is: 898,639,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,784,908 : 411,885,304 = 411,885,304 : x
  2. Step 2: Convert to fraction form
    188,784,908/411,885,304 = 411,885,304/x
  3. Step 3: Cross multiply
    188,784,908x = 411,885,304 × 411,885,304
  4. Step 4: Simplify right side
    188,784,908x = 169,649,503,651,172,416
  5. Step 5: Solve for x
    x = 169,649,503,651,172,416/188,784,908
  6. Step 6: Final answer
    x = 898,639,120.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.