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Finding the Third Proportional to 178,196,940 and 283,549,192

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Solution

The third proportional to 178,196,940 and 283,549,192 is: 451,187,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,196,940 : 283,549,192 = 283,549,192 : x
  2. Step 2: Convert to fraction form
    178,196,940/283,549,192 = 283,549,192/x
  3. Step 3: Cross multiply
    178,196,940x = 283,549,192 × 283,549,192
  4. Step 4: Simplify right side
    178,196,940x = 80,400,144,283,852,864
  5. Step 5: Solve for x
    x = 80,400,144,283,852,864/178,196,940
  6. Step 6: Final answer
    x = 451,187,008.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.