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Finding the Third Proportional to 140,201,004.94 and 306,787,071.38

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Solution

The third proportional to 140,201,004.94 and 306,787,071.38 is: 671,309,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,201,004.94 : 306,787,071.38 = 306,787,071.38 : x
  2. Step 2: Convert to fraction form
    140,201,004.94/306,787,071.38 = 306,787,071.38/x
  3. Step 3: Cross multiply
    140,201,004.94x = 306,787,071.38 × 306,787,071.38
  4. Step 4: Simplify right side
    140,201,004.94x = 94,118,307,162,849,344
  5. Step 5: Solve for x
    x = 94,118,307,162,849,344/140,201,004.94
  6. Step 6: Final answer
    x = 671,309,789.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.