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Finding the Third Proportional to 110,010,051 and 233,133,678

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Solution

The third proportional to 110,010,051 and 233,133,678 is: 494,057,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,010,051 : 233,133,678 = 233,133,678 : x
  2. Step 2: Convert to fraction form
    110,010,051/233,133,678 = 233,133,678/x
  3. Step 3: Cross multiply
    110,010,051x = 233,133,678 × 233,133,678
  4. Step 4: Simplify right side
    110,010,051x = 54,351,311,817,807,680
  5. Step 5: Solve for x
    x = 54,351,311,817,807,680/110,010,051
  6. Step 6: Final answer
    x = 494,057,691.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.