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Finding the Third Proportional to 39,820,898 and 85,100,548

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Solution

The third proportional to 39,820,898 and 85,100,548 is: 181,866,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,820,898 : 85,100,548 = 85,100,548 : x
  2. Step 2: Convert to fraction form
    39,820,898/85,100,548 = 85,100,548/x
  3. Step 3: Cross multiply
    39,820,898x = 85,100,548 × 85,100,548
  4. Step 4: Simplify right side
    39,820,898x = 7,242,103,269,900,304
  5. Step 5: Solve for x
    x = 7,242,103,269,900,304/39,820,898
  6. Step 6: Final answer
    x = 181,866,899.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.