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Finding the Third Proportional to 164,222,478 and 229,592,691

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Solution

The third proportional to 164,222,478 and 229,592,691 is: 320,984,096.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222,478 : 229,592,691 = 229,592,691 : x
  2. Step 2: Convert to fraction form
    164,222,478/229,592,691 = 229,592,691/x
  3. Step 3: Cross multiply
    164,222,478x = 229,592,691 × 229,592,691
  4. Step 4: Simplify right side
    164,222,478x = 52,712,803,760,621,480
  5. Step 5: Solve for x
    x = 52,712,803,760,621,480/164,222,478
  6. Step 6: Final answer
    x = 320,984,096.71

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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.