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Finding the Third Proportional to 83,753,098.88 and 184,038,004.13

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Solution

The third proportional to 83,753,098.88 and 184,038,004.13 is: 404,402,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,753,098.88 : 184,038,004.13 = 184,038,004.13 : x
  2. Step 2: Convert to fraction form
    83,753,098.88/184,038,004.13 = 184,038,004.13/x
  3. Step 3: Cross multiply
    83,753,098.88x = 184,038,004.13 × 184,038,004.13
  4. Step 4: Simplify right side
    83,753,098.88x = 33,869,986,962,313,516
  5. Step 5: Solve for x
    x = 33,869,986,962,313,516/83,753,098.88
  6. Step 6: Final answer
    x = 404,402,791.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.