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Finding the Third Proportional to 161,620,452,650 and 227,308,353,399

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Solution

The third proportional to 161,620,452,650 and 227,308,353,399 is: 319,693,990,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,620,452,650 : 227,308,353,399 = 227,308,353,399 : x
  2. Step 2: Convert to fraction form
    161,620,452,650/227,308,353,399 = 227,308,353,399/x
  3. Step 3: Cross multiply
    161,620,452,650x = 227,308,353,399 × 227,308,353,399
  4. Step 4: Simplify right side
    161,620,452,650x = 51,669,087,524,964,672,733,184
  5. Step 5: Solve for x
    x = 51,669,087,524,964,672,733,184/161,620,452,650
  6. Step 6: Final answer
    x = 319,693,990,938.50

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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.