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Finding the Third Proportional to 53,858,307.50 and 85,296,412

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Solution

The third proportional to 53,858,307.50 and 85,296,412 is: 135,085,527.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,858,307.50 : 85,296,412 = 85,296,412 : x
  2. Step 2: Convert to fraction form
    53,858,307.50/85,296,412 = 85,296,412/x
  3. Step 3: Cross multiply
    53,858,307.50x = 85,296,412 × 85,296,412
  4. Step 4: Simplify right side
    53,858,307.50x = 7,275,477,900,073,744
  5. Step 5: Solve for x
    x = 7,275,477,900,073,744/53,858,307.50
  6. Step 6: Final answer
    x = 135,085,527.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.