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Finding the Third Proportional to 164,222,465.50 and 229,592,672

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Solution

The third proportional to 164,222,465.50 and 229,592,672 is: 320,984,068.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222,465.50 : 229,592,672 = 229,592,672 : x
  2. Step 2: Convert to fraction form
    164,222,465.50/229,592,672 = 229,592,672/x
  3. Step 3: Cross multiply
    164,222,465.50x = 229,592,672 × 229,592,672
  4. Step 4: Simplify right side
    164,222,465.50x = 52,712,795,036,099,584
  5. Step 5: Solve for x
    x = 52,712,795,036,099,584/164,222,465.50
  6. Step 6: Final answer
    x = 320,984,068.02

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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.