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Finding the Third Proportional to 107,468,967 and 233,184,073.50

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Solution

The third proportional to 107,468,967 and 233,184,073.50 is: 505,958,265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,468,967 : 233,184,073.50 = 233,184,073.50 : x
  2. Step 2: Convert to fraction form
    107,468,967/233,184,073.50 = 233,184,073.50/x
  3. Step 3: Cross multiply
    107,468,967x = 233,184,073.50 × 233,184,073.50
  4. Step 4: Simplify right side
    107,468,967x = 54,374,812,134,053,400
  5. Step 5: Solve for x
    x = 54,374,812,134,053,400/107,468,967
  6. Step 6: Final answer
    x = 505,958,265.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.