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Finding the Third Proportional to 154,143,728.63 and 222,711,060.38

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Solution

The third proportional to 154,143,728.63 and 222,711,060.38 is: 321,779,010.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,143,728.63 : 222,711,060.38 = 222,711,060.38 : x
  2. Step 2: Convert to fraction form
    154,143,728.63/222,711,060.38 = 222,711,060.38/x
  3. Step 3: Cross multiply
    154,143,728.63x = 222,711,060.38 × 222,711,060.38
  4. Step 4: Simplify right side
    154,143,728.63x = 49,600,216,413,356,896
  5. Step 5: Solve for x
    x = 49,600,216,413,356,896/154,143,728.63
  6. Step 6: Final answer
    x = 321,779,010.12

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.