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Finding the Third Proportional to 57,315,192.50 and 121,099,585.50

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Solution

The third proportional to 57,315,192.50 and 121,099,585.50 is: 255,867,754.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,315,192.50 : 121,099,585.50 = 121,099,585.50 : x
  2. Step 2: Convert to fraction form
    57,315,192.50/121,099,585.50 = 121,099,585.50/x
  3. Step 3: Cross multiply
    57,315,192.50x = 121,099,585.50 × 121,099,585.50
  4. Step 4: Simplify right side
    57,315,192.50x = 14,665,109,608,271,810
  5. Step 5: Solve for x
    x = 14,665,109,608,271,810/57,315,192.50
  6. Step 6: Final answer
    x = 255,867,754.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.