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Finding the Third Proportional to 80,485,464 and 174,581,708

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Solution

The third proportional to 80,485,464 and 174,581,708 is: 378,686,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,485,464 : 174,581,708 = 174,581,708 : x
  2. Step 2: Convert to fraction form
    80,485,464/174,581,708 = 174,581,708/x
  3. Step 3: Cross multiply
    80,485,464x = 174,581,708 × 174,581,708
  4. Step 4: Simplify right side
    80,485,464x = 30,478,772,768,197,264
  5. Step 5: Solve for x
    x = 30,478,772,768,197,264/80,485,464
  6. Step 6: Final answer
    x = 378,686,675.25

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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.