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Finding the Third Proportional to 69,242,475 and 149,975,268

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Solution

The third proportional to 69,242,475 and 149,975,268 is: 324,837,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,242,475 : 149,975,268 = 149,975,268 : x
  2. Step 2: Convert to fraction form
    69,242,475/149,975,268 = 149,975,268/x
  3. Step 3: Cross multiply
    69,242,475x = 149,975,268 × 149,975,268
  4. Step 4: Simplify right side
    69,242,475x = 22,492,581,011,671,824
  5. Step 5: Solve for x
    x = 22,492,581,011,671,824/69,242,475
  6. Step 6: Final answer
    x = 324,837,912.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.