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Finding the Third Proportional to 51,321,992.34 and 106,281,854.16

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Solution

The third proportional to 51,321,992.34 and 106,281,854.16 is: 220,097,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,321,992.34 : 106,281,854.16 = 106,281,854.16 : x
  2. Step 2: Convert to fraction form
    51,321,992.34/106,281,854.16 = 106,281,854.16/x
  3. Step 3: Cross multiply
    51,321,992.34x = 106,281,854.16 × 106,281,854.16
  4. Step 4: Simplify right side
    51,321,992.34x = 11,295,832,522,890,396
  5. Step 5: Solve for x
    x = 11,295,832,522,890,396/51,321,992.34
  6. Step 6: Final answer
    x = 220,097,311.25

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.