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Finding the Third Proportional to 99,320,426.44 and 213,820,034.34

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Solution

The third proportional to 99,320,426.44 and 213,820,034.34 is: 460,318,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320,426.44 : 213,820,034.34 = 213,820,034.34 : x
  2. Step 2: Convert to fraction form
    99,320,426.44/213,820,034.34 = 213,820,034.34/x
  3. Step 3: Cross multiply
    99,320,426.44x = 213,820,034.34 × 213,820,034.34
  4. Step 4: Simplify right side
    99,320,426.44x = 45,719,007,086,762,432
  5. Step 5: Solve for x
    x = 45,719,007,086,762,432/99,320,426.44
  6. Step 6: Final answer
    x = 460,318,272.15

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Why These Related Problems?

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