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Finding the Third Proportional to 229,697,534 and 353,061,569

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Solution

The third proportional to 229,697,534 and 353,061,569 is: 542,680,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,697,534 : 353,061,569 = 353,061,569 : x
  2. Step 2: Convert to fraction form
    229,697,534/353,061,569 = 353,061,569/x
  3. Step 3: Cross multiply
    229,697,534x = 353,061,569 × 353,061,569
  4. Step 4: Simplify right side
    229,697,534x = 124,652,471,504,741,760
  5. Step 5: Solve for x
    x = 124,652,471,504,741,760/229,697,534
  6. Step 6: Final answer
    x = 542,680,930.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.