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Finding the Third Proportional to 221,570,786.81 and 347,566,833.56

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Solution

The third proportional to 221,570,786.81 and 347,566,833.56 is: 545,210,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,570,786.81 : 347,566,833.56 = 347,566,833.56 : x
  2. Step 2: Convert to fraction form
    221,570,786.81/347,566,833.56 = 347,566,833.56/x
  3. Step 3: Cross multiply
    221,570,786.81x = 347,566,833.56 × 347,566,833.56
  4. Step 4: Simplify right side
    221,570,786.81x = 120,802,703,792,662,576
  5. Step 5: Solve for x
    x = 120,802,703,792,662,576/221,570,786.81
  6. Step 6: Final answer
    x = 545,210,429.27

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1.5x scale

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.