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Finding the Third Proportional to 203,621,551 and 431,675,840

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Solution

The third proportional to 203,621,551 and 431,675,840 is: 915,148,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,621,551 : 431,675,840 = 431,675,840 : x
  2. Step 2: Convert to fraction form
    203,621,551/431,675,840 = 431,675,840/x
  3. Step 3: Cross multiply
    203,621,551x = 431,675,840 × 431,675,840
  4. Step 4: Simplify right side
    203,621,551x = 186,344,030,839,705,600
  5. Step 5: Solve for x
    x = 186,344,030,839,705,600/203,621,551
  6. Step 6: Final answer
    x = 915,148,862.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.