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Finding the Third Proportional to 193,298,746,674 and 392,109,167,601

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Solution

The third proportional to 193,298,746,674 and 392,109,167,601 is: 795,398,842,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,298,746,674 : 392,109,167,601 = 392,109,167,601 : x
  2. Step 2: Convert to fraction form
    193,298,746,674/392,109,167,601 = 392,109,167,601/x
  3. Step 3: Cross multiply
    193,298,746,674x = 392,109,167,601 × 392,109,167,601
  4. Step 4: Simplify right side
    193,298,746,674x = 153,749,599,316,749,112,573,952
  5. Step 5: Solve for x
    x = 153,749,599,316,749,112,573,952/193,298,746,674
  6. Step 6: Final answer
    x = 795,398,842,270.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.