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Finding the Third Proportional to 99,320,429.39 and 213,820,039.83

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Solution

The third proportional to 99,320,429.39 and 213,820,039.83 is: 460,318,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320,429.39 : 213,820,039.83 = 213,820,039.83 : x
  2. Step 2: Convert to fraction form
    99,320,429.39/213,820,039.83 = 213,820,039.83/x
  3. Step 3: Cross multiply
    99,320,429.39x = 213,820,039.83 × 213,820,039.83
  4. Step 4: Simplify right side
    99,320,429.39x = 45,719,009,432,098,824
  5. Step 5: Solve for x
    x = 45,719,009,432,098,824/99,320,429.39
  6. Step 6: Final answer
    x = 460,318,282.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.