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Finding the Third Proportional to 65,507,970.38 and 140,217,986.25

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Solution

The third proportional to 65,507,970.38 and 140,217,986.25 is: 300,132,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507,970.38 : 140,217,986.25 = 140,217,986.25 : x
  2. Step 2: Convert to fraction form
    65,507,970.38/140,217,986.25 = 140,217,986.25/x
  3. Step 3: Cross multiply
    65,507,970.38x = 140,217,986.25 × 140,217,986.25
  4. Step 4: Simplify right side
    65,507,970.38x = 19,661,083,668,005,188
  5. Step 5: Solve for x
    x = 19,661,083,668,005,188/65,507,970.38
  6. Step 6: Final answer
    x = 300,132,694.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.