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Finding the Third Proportional to 82,989,009 and 133,340,704.50

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Solution

The third proportional to 82,989,009 and 133,340,704.50 is: 214,242,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,989,009 : 133,340,704.50 = 133,340,704.50 : x
  2. Step 2: Convert to fraction form
    82,989,009/133,340,704.50 = 133,340,704.50/x
  3. Step 3: Cross multiply
    82,989,009x = 133,340,704.50 × 133,340,704.50
  4. Step 4: Simplify right side
    82,989,009x = 17,779,743,476,556,320
  5. Step 5: Solve for x
    x = 17,779,743,476,556,320/82,989,009
  6. Step 6: Final answer
    x = 214,242,147.13

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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.