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Finding the Third Proportional to 164,222,469 and 229,592,677

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Solution

The third proportional to 164,222,469 and 229,592,677 is: 320,984,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222,469 : 229,592,677 = 229,592,677 : x
  2. Step 2: Convert to fraction form
    164,222,469/229,592,677 = 229,592,677/x
  3. Step 3: Cross multiply
    164,222,469x = 229,592,677 × 229,592,677
  4. Step 4: Simplify right side
    164,222,469x = 52,712,797,332,026,328
  5. Step 5: Solve for x
    x = 52,712,797,332,026,328/164,222,469
  6. Step 6: Final answer
    x = 320,984,075.16

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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.