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Finding the Third Proportional to 204,015,581 and 440,271,430

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Solution

The third proportional to 204,015,581 and 440,271,430 is: 950,118,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,015,581 : 440,271,430 = 440,271,430 : x
  2. Step 2: Convert to fraction form
    204,015,581/440,271,430 = 440,271,430/x
  3. Step 3: Cross multiply
    204,015,581x = 440,271,430 × 440,271,430
  4. Step 4: Simplify right side
    204,015,581x = 193,838,932,074,244,896
  5. Step 5: Solve for x
    x = 193,838,932,074,244,896/204,015,581
  6. Step 6: Final answer
    x = 950,118,275.89

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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.