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Finding the Third Proportional to 202,163,677 and 288,896,608

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Solution

The third proportional to 202,163,677 and 288,896,608 is: 412,839,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,163,677 : 288,896,608 = 288,896,608 : x
  2. Step 2: Convert to fraction form
    202,163,677/288,896,608 = 288,896,608/x
  3. Step 3: Cross multiply
    202,163,677x = 288,896,608 × 288,896,608
  4. Step 4: Simplify right side
    202,163,677x = 83,461,250,113,905,664
  5. Step 5: Solve for x
    x = 83,461,250,113,905,664/202,163,677
  6. Step 6: Final answer
    x = 412,839,988.63

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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.