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Finding the Third Proportional to 193,696,281,066 and 419,623,557,370

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Solution

The third proportional to 193,696,281,066 and 419,623,557,370 is: 909,072,331,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,696,281,066 : 419,623,557,370 = 419,623,557,370 : x
  2. Step 2: Convert to fraction form
    193,696,281,066/419,623,557,370 = 419,623,557,370/x
  3. Step 3: Cross multiply
    193,696,281,066x = 419,623,557,370 × 419,623,557,370
  4. Step 4: Simplify right side
    193,696,281,066x = 176,083,929,899,853,668,155,392
  5. Step 5: Solve for x
    x = 176,083,929,899,853,668,155,392/193,696,281,066
  6. Step 6: Final answer
    x = 909,072,331,852.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.