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Finding the Third Proportional to 72,677,882.25 and 111,711,114

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Solution

The third proportional to 72,677,882.25 and 111,711,114 is: 171,707,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,677,882.25 : 111,711,114 = 111,711,114 : x
  2. Step 2: Convert to fraction form
    72,677,882.25/111,711,114 = 111,711,114/x
  3. Step 3: Cross multiply
    72,677,882.25x = 111,711,114 × 111,711,114
  4. Step 4: Simplify right side
    72,677,882.25x = 12,479,372,991,120,996
  5. Step 5: Solve for x
    x = 12,479,372,991,120,996/72,677,882.25
  6. Step 6: Final answer
    x = 171,707,988.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.