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Finding the Third Proportional to 82,507,497.75 and 174,850,299

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Solution

The third proportional to 82,507,497.75 and 174,850,299 is: 370,543,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,507,497.75 : 174,850,299 = 174,850,299 : x
  2. Step 2: Convert to fraction form
    82,507,497.75/174,850,299 = 174,850,299/x
  3. Step 3: Cross multiply
    82,507,497.75x = 174,850,299 × 174,850,299
  4. Step 4: Simplify right side
    82,507,497.75x = 30,572,627,060,389,400
  5. Step 5: Solve for x
    x = 30,572,627,060,389,400/82,507,497.75
  6. Step 6: Final answer
    x = 370,543,622.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.