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Finding the Third Proportional to 132,050,928 and 289,611,024

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Solution

The third proportional to 132,050,928 and 289,611,024 is: 635,168,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,050,928 : 289,611,024 = 289,611,024 : x
  2. Step 2: Convert to fraction form
    132,050,928/289,611,024 = 289,611,024/x
  3. Step 3: Cross multiply
    132,050,928x = 289,611,024 × 289,611,024
  4. Step 4: Simplify right side
    132,050,928x = 83,874,545,222,328,576
  5. Step 5: Solve for x
    x = 83,874,545,222,328,576/132,050,928
  6. Step 6: Final answer
    x = 635,168,161.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.