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Finding the Third Proportional to 177,104,383 and 277,799,345.25

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Solution

The third proportional to 177,104,383 and 277,799,345.25 is: 435,745,716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,104,383 : 277,799,345.25 = 277,799,345.25 : x
  2. Step 2: Convert to fraction form
    177,104,383/277,799,345.25 = 277,799,345.25/x
  3. Step 3: Cross multiply
    177,104,383x = 277,799,345.25 × 277,799,345.25
  4. Step 4: Simplify right side
    177,104,383x = 77,172,476,221,328,704
  5. Step 5: Solve for x
    x = 77,172,476,221,328,704/177,104,383
  6. Step 6: Final answer
    x = 435,745,716.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.