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Finding the Third Proportional to 229,696,569 and 353,060,257

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Solution

The third proportional to 229,696,569 and 353,060,257 is: 542,679,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,696,569 : 353,060,257 = 353,060,257 : x
  2. Step 2: Convert to fraction form
    229,696,569/353,060,257 = 353,060,257/x
  3. Step 3: Cross multiply
    229,696,569x = 353,060,257 × 353,060,257
  4. Step 4: Simplify right side
    229,696,569x = 124,651,545,072,906,048
  5. Step 5: Solve for x
    x = 124,651,545,072,906,048/229,696,569
  6. Step 6: Final answer
    x = 542,679,177.21

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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.