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Finding the Third Proportional to 128,125,344 and 276,406,080

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Solution

The third proportional to 128,125,344 and 276,406,080 is: 596,293,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,125,344 : 276,406,080 = 276,406,080 : x
  2. Step 2: Convert to fraction form
    128,125,344/276,406,080 = 276,406,080/x
  3. Step 3: Cross multiply
    128,125,344x = 276,406,080 × 276,406,080
  4. Step 4: Simplify right side
    128,125,344x = 76,400,321,060,966,400
  5. Step 5: Solve for x
    x = 76,400,321,060,966,400/128,125,344
  6. Step 6: Final answer
    x = 596,293,587.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.