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Finding the Third Proportional to 164,222,476 and 229,592,688

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Solution

The third proportional to 164,222,476 and 229,592,688 is: 320,984,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222,476 : 229,592,688 = 229,592,688 : x
  2. Step 2: Convert to fraction form
    164,222,476/229,592,688 = 229,592,688/x
  3. Step 3: Cross multiply
    164,222,476x = 229,592,688 × 229,592,688
  4. Step 4: Simplify right side
    164,222,476x = 52,712,802,383,065,344
  5. Step 5: Solve for x
    x = 52,712,802,383,065,344/164,222,476
  6. Step 6: Final answer
    x = 320,984,092.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.