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Finding the Third Proportional to 65,524,308 and 142,186,728.75

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Solution

The third proportional to 65,524,308 and 142,186,728.75 is: 308,542,988.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524,308 : 142,186,728.75 = 142,186,728.75 : x
  2. Step 2: Convert to fraction form
    65,524,308/142,186,728.75 = 142,186,728.75/x
  3. Step 3: Cross multiply
    65,524,308x = 142,186,728.75 × 142,186,728.75
  4. Step 4: Simplify right side
    65,524,308x = 20,217,065,832,626,076
  5. Step 5: Solve for x
    x = 20,217,065,832,626,076/65,524,308
  6. Step 6: Final answer
    x = 308,542,988.85

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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.