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Finding the Third Proportional to 51,065,505.84 and 109,570,147.88

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Solution

The third proportional to 51,065,505.84 and 109,570,147.88 is: 235,102,288.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,065,505.84 : 109,570,147.88 = 109,570,147.88 : x
  2. Step 2: Convert to fraction form
    51,065,505.84/109,570,147.88 = 109,570,147.88/x
  3. Step 3: Cross multiply
    51,065,505.84x = 109,570,147.88 × 109,570,147.88
  4. Step 4: Simplify right side
    51,065,505.84x = 12,005,617,305,349,368
  5. Step 5: Solve for x
    x = 12,005,617,305,349,368/51,065,505.84
  6. Step 6: Final answer
    x = 235,102,288.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.