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Finding the Third Proportional to 83,178,114.75 and 185,481,483.75

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Solution

The third proportional to 83,178,114.75 and 185,481,483.75 is: 413,610,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,114.75 : 185,481,483.75 = 185,481,483.75 : x
  2. Step 2: Convert to fraction form
    83,178,114.75/185,481,483.75 = 185,481,483.75/x
  3. Step 3: Cross multiply
    83,178,114.75x = 185,481,483.75 × 185,481,483.75
  4. Step 4: Simplify right side
    83,178,114.75x = 34,403,380,814,101,516
  5. Step 5: Solve for x
    x = 34,403,380,814,101,516/83,178,114.75
  6. Step 6: Final answer
    x = 413,610,971.08

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.