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Finding the Third Proportional to 148,161,600 and 319,079,550.50

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Solution

The third proportional to 148,161,600 and 319,079,550.50 is: 687,166,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,161,600 : 319,079,550.50 = 319,079,550.50 : x
  2. Step 2: Convert to fraction form
    148,161,600/319,079,550.50 = 319,079,550.50/x
  3. Step 3: Cross multiply
    148,161,600x = 319,079,550.50 × 319,079,550.50
  4. Step 4: Simplify right side
    148,161,600x = 101,811,759,547,282,048
  5. Step 5: Solve for x
    x = 101,811,759,547,282,048/148,161,600
  6. Step 6: Final answer
    x = 687,166,982.18

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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.