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Finding the Third Proportional to 72,678,362.25 and 111,711,676.50

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Solution

The third proportional to 72,678,362.25 and 111,711,676.50 is: 171,708,583.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,678,362.25 : 111,711,676.50 = 111,711,676.50 : x
  2. Step 2: Convert to fraction form
    72,678,362.25/111,711,676.50 = 111,711,676.50/x
  3. Step 3: Cross multiply
    72,678,362.25x = 111,711,676.50 × 111,711,676.50
  4. Step 4: Simplify right side
    72,678,362.25x = 12,479,498,666,440,652
  5. Step 5: Solve for x
    x = 12,479,498,666,440,652/72,678,362.25
  6. Step 6: Final answer
    x = 171,708,583.96

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