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Finding the Third Proportional to 84,912,240 and 185,723,256

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Solution

The third proportional to 84,912,240 and 185,723,256 is: 406,220,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,240 : 185,723,256 = 185,723,256 : x
  2. Step 2: Convert to fraction form
    84,912,240/185,723,256 = 185,723,256/x
  3. Step 3: Cross multiply
    84,912,240x = 185,723,256 × 185,723,256
  4. Step 4: Simplify right side
    84,912,240x = 34,493,127,819,241,536
  5. Step 5: Solve for x
    x = 34,493,127,819,241,536/84,912,240
  6. Step 6: Final answer
    x = 406,220,914.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.