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Finding the Third Proportional to 108,485,163 and 256,046,062.50

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Solution

The third proportional to 108,485,163 and 256,046,062.50 is: 604,318,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,485,163 : 256,046,062.50 = 256,046,062.50 : x
  2. Step 2: Convert to fraction form
    108,485,163/256,046,062.50 = 256,046,062.50/x
  3. Step 3: Cross multiply
    108,485,163x = 256,046,062.50 × 256,046,062.50
  4. Step 4: Simplify right side
    108,485,163x = 65,559,586,121,753,904
  5. Step 5: Solve for x
    x = 65,559,586,121,753,904/108,485,163
  6. Step 6: Final answer
    x = 604,318,455.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.