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Finding the Third Proportional to 78,733,680.75 and 169,536,867.75

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Solution

The third proportional to 78,733,680.75 and 169,536,867.75 is: 365,062,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,733,680.75 : 169,536,867.75 = 169,536,867.75 : x
  2. Step 2: Convert to fraction form
    78,733,680.75/169,536,867.75 = 169,536,867.75/x
  3. Step 3: Cross multiply
    78,733,680.75x = 169,536,867.75 × 169,536,867.75
  4. Step 4: Simplify right side
    78,733,680.75x = 28,742,749,526,480,992
  5. Step 5: Solve for x
    x = 28,742,749,526,480,992/78,733,680.75
  6. Step 6: Final answer
    x = 365,062,947.05

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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.