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Finding the Third Proportional to 82,987,638.75 and 133,338,808.13

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Solution

The third proportional to 82,987,638.75 and 133,338,808.13 is: 214,239,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987,638.75 : 133,338,808.13 = 133,338,808.13 : x
  2. Step 2: Convert to fraction form
    82,987,638.75/133,338,808.13 = 133,338,808.13/x
  3. Step 3: Cross multiply
    82,987,638.75x = 133,338,808.13 × 133,338,808.13
  4. Step 4: Simplify right side
    82,987,638.75x = 17,779,237,752,195,566
  5. Step 5: Solve for x
    x = 17,779,237,752,195,566/82,987,638.75
  6. Step 6: Final answer
    x = 214,239,590.62

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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.