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Finding the Third Proportional to 73,690,746.75 and 115,584,844.50

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Solution

The third proportional to 73,690,746.75 and 115,584,844.50 is: 181,296,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,690,746.75 : 115,584,844.50 = 115,584,844.50 : x
  2. Step 2: Convert to fraction form
    73,690,746.75/115,584,844.50 = 115,584,844.50/x
  3. Step 3: Cross multiply
    73,690,746.75x = 115,584,844.50 × 115,584,844.50
  4. Step 4: Simplify right side
    73,690,746.75x = 13,359,856,278,089,180
  5. Step 5: Solve for x
    x = 13,359,856,278,089,180/73,690,746.75
  6. Step 6: Final answer
    x = 181,296,253.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.