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Finding the Third Proportional to 82,768,000 and 195,107,202

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Solution

The third proportional to 82,768,000 and 195,107,202 is: 459,921,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,768,000 : 195,107,202 = 195,107,202 : x
  2. Step 2: Convert to fraction form
    82,768,000/195,107,202 = 195,107,202/x
  3. Step 3: Cross multiply
    82,768,000x = 195,107,202 × 195,107,202
  4. Step 4: Simplify right side
    82,768,000x = 38,066,820,272,268,800
  5. Step 5: Solve for x
    x = 38,066,820,272,268,800/82,768,000
  6. Step 6: Final answer
    x = 459,921,953.80

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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.