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Finding the Third Proportional to 161,497,026 and 354,260,225.25

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Solution

The third proportional to 161,497,026 and 354,260,225.25 is: 777,105,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,497,026 : 354,260,225.25 = 354,260,225.25 : x
  2. Step 2: Convert to fraction form
    161,497,026/354,260,225.25 = 354,260,225.25/x
  3. Step 3: Cross multiply
    161,497,026x = 354,260,225.25 × 354,260,225.25
  4. Step 4: Simplify right side
    161,497,026x = 125,500,307,194,180,736
  5. Step 5: Solve for x
    x = 125,500,307,194,180,736/161,497,026
  6. Step 6: Final answer
    x = 777,105,995.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.