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Finding the Third Proportional to 88,286,182 and 206,210,754

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Solution

The third proportional to 88,286,182 and 206,210,754 is: 481,648,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,286,182 : 206,210,754 = 206,210,754 : x
  2. Step 2: Convert to fraction form
    88,286,182/206,210,754 = 206,210,754/x
  3. Step 3: Cross multiply
    88,286,182x = 206,210,754 × 206,210,754
  4. Step 4: Simplify right side
    88,286,182x = 42,522,875,065,248,512
  5. Step 5: Solve for x
    x = 42,522,875,065,248,512/88,286,182
  6. Step 6: Final answer
    x = 481,648,136.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.