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Finding the Third Proportional to 72,282,245.91 and 110,117,338.31

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Solution

The third proportional to 72,282,245.91 and 110,117,338.31 is: 167,756,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,282,245.91 : 110,117,338.31 = 110,117,338.31 : x
  2. Step 2: Convert to fraction form
    72,282,245.91/110,117,338.31 = 110,117,338.31/x
  3. Step 3: Cross multiply
    72,282,245.91x = 110,117,338.31 × 110,117,338.31
  4. Step 4: Simplify right side
    72,282,245.91x = 12,125,828,197,029,580
  5. Step 5: Solve for x
    x = 12,125,828,197,029,580/72,282,245.91
  6. Step 6: Final answer
    x = 167,756,660.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.