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Finding the Third Proportional to 193,298,746,669 and 392,109,167,592

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Solution

The third proportional to 193,298,746,669 and 392,109,167,592 is: 795,398,842,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,298,746,669 : 392,109,167,592 = 392,109,167,592 : x
  2. Step 2: Convert to fraction form
    193,298,746,669/392,109,167,592 = 392,109,167,592/x
  3. Step 3: Cross multiply
    193,298,746,669x = 392,109,167,592 × 392,109,167,592
  4. Step 4: Simplify right side
    193,298,746,669x = 153,749,599,309,691,139,129,344
  5. Step 5: Solve for x
    x = 153,749,599,309,691,139,129,344/193,298,746,669
  6. Step 6: Final answer
    x = 795,398,842,254.10

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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.