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Finding the Third Proportional to 107,994,249 and 233,226,501.75

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Solution

The third proportional to 107,994,249 and 233,226,501.75 is: 503,680,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,994,249 : 233,226,501.75 = 233,226,501.75 : x
  2. Step 2: Convert to fraction form
    107,994,249/233,226,501.75 = 233,226,501.75/x
  3. Step 3: Cross multiply
    107,994,249x = 233,226,501.75 × 233,226,501.75
  4. Step 4: Simplify right side
    107,994,249x = 54,394,601,118,542,752
  5. Step 5: Solve for x
    x = 54,394,601,118,542,752/107,994,249
  6. Step 6: Final answer
    x = 503,680,535.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.