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Finding the Third Proportional to 82,767,896 and 195,106,964

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Solution

The third proportional to 82,767,896 and 195,106,964 is: 459,921,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767,896 : 195,106,964 = 195,106,964 : x
  2. Step 2: Convert to fraction form
    82,767,896/195,106,964 = 195,106,964/x
  3. Step 3: Cross multiply
    82,767,896x = 195,106,964 × 195,106,964
  4. Step 4: Simplify right side
    82,767,896x = 38,066,727,401,297,296
  5. Step 5: Solve for x
    x = 38,066,727,401,297,296/82,767,896
  6. Step 6: Final answer
    x = 459,921,409.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.