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Finding the Third Proportional to 161,620,452,648 and 227,308,353,396

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Solution

The third proportional to 161,620,452,648 and 227,308,353,396 is: 319,693,990,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,620,452,648 : 227,308,353,396 = 227,308,353,396 : x
  2. Step 2: Convert to fraction form
    161,620,452,648/227,308,353,396 = 227,308,353,396/x
  3. Step 3: Cross multiply
    161,620,452,648x = 227,308,353,396 × 227,308,353,396
  4. Step 4: Simplify right side
    161,620,452,648x = 51,669,087,523,600,827,678,720
  5. Step 5: Solve for x
    x = 51,669,087,523,600,827,678,720/161,620,452,648
  6. Step 6: Final answer
    x = 319,693,990,934.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.