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Finding the Third Proportional to 202,163,675.34 and 288,896,604.75

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Solution

The third proportional to 202,163,675.34 and 288,896,604.75 is: 412,839,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,163,675.34 : 288,896,604.75 = 288,896,604.75 : x
  2. Step 2: Convert to fraction form
    202,163,675.34/288,896,604.75 = 288,896,604.75/x
  3. Step 3: Cross multiply
    202,163,675.34x = 288,896,604.75 × 288,896,604.75
  4. Step 4: Simplify right side
    202,163,675.34x = 83,461,248,236,077,728
  5. Step 5: Solve for x
    x = 83,461,248,236,077,728/202,163,675.34
  6. Step 6: Final answer
    x = 412,839,982.72

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.