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Finding the Third Proportional to 58,307,829.75 and 134,986,198.75

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Solution

The third proportional to 58,307,829.75 and 134,986,198.75 is: 312,501,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,307,829.75 : 134,986,198.75 = 134,986,198.75 : x
  2. Step 2: Convert to fraction form
    58,307,829.75/134,986,198.75 = 134,986,198.75/x
  3. Step 3: Cross multiply
    58,307,829.75x = 134,986,198.75 × 134,986,198.75
  4. Step 4: Simplify right side
    58,307,829.75x = 18,221,273,852,974,500
  5. Step 5: Solve for x
    x = 18,221,273,852,974,500/58,307,829.75
  6. Step 6: Final answer
    x = 312,501,321.54

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.