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Finding the Third Proportional to 128,307,691.50 and 185,382,497.25

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Solution

The third proportional to 128,307,691.50 and 185,382,497.25 is: 267,845,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,307,691.50 : 185,382,497.25 = 185,382,497.25 : x
  2. Step 2: Convert to fraction form
    128,307,691.50/185,382,497.25 = 185,382,497.25/x
  3. Step 3: Cross multiply
    128,307,691.50x = 185,382,497.25 × 185,382,497.25
  4. Step 4: Simplify right side
    128,307,691.50x = 34,366,670,286,646,256
  5. Step 5: Solve for x
    x = 34,366,670,286,646,256/128,307,691.50
  6. Step 6: Final answer
    x = 267,845,753.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.