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Finding the Third Proportional to 39,081,983.63 and 83,531,138.63

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Solution

The third proportional to 39,081,983.63 and 83,531,138.63 is: 178,533,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,081,983.63 : 83,531,138.63 = 83,531,138.63 : x
  2. Step 2: Convert to fraction form
    39,081,983.63/83,531,138.63 = 83,531,138.63/x
  3. Step 3: Cross multiply
    39,081,983.63x = 83,531,138.63 × 83,531,138.63
  4. Step 4: Simplify right side
    39,081,983.63x = 6,977,451,119,988,967
  5. Step 5: Solve for x
    x = 6,977,451,119,988,967/39,081,983.63
  6. Step 6: Final answer
    x = 178,533,699.49

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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.