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Finding the Third Proportional to 82,987,671 and 133,338,856.50

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Solution

The third proportional to 82,987,671 and 133,338,856.50 is: 214,239,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987,671 : 133,338,856.50 = 133,338,856.50 : x
  2. Step 2: Convert to fraction form
    82,987,671/133,338,856.50 = 133,338,856.50/x
  3. Step 3: Cross multiply
    82,987,671x = 133,338,856.50 × 133,338,856.50
  4. Step 4: Simplify right side
    82,987,671x = 17,779,250,652,727,592
  5. Step 5: Solve for x
    x = 17,779,250,652,727,592/82,987,671
  6. Step 6: Final answer
    x = 214,239,662.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.