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Finding the Third Proportional to 39,081,966.75 and 83,531,104.88

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Solution

The third proportional to 39,081,966.75 and 83,531,104.88 is: 178,533,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,081,966.75 : 83,531,104.88 = 83,531,104.88 : x
  2. Step 2: Convert to fraction form
    39,081,966.75/83,531,104.88 = 83,531,104.88/x
  3. Step 3: Cross multiply
    39,081,966.75x = 83,531,104.88 × 83,531,104.88
  4. Step 4: Simplify right side
    39,081,966.75x = 6,977,445,481,638,249
  5. Step 5: Solve for x
    x = 6,977,445,481,638,249/39,081,966.75
  6. Step 6: Final answer
    x = 178,533,632.31

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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.