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Finding the Third Proportional to 332,200,216.13 and 711,784,201.50

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Solution

The third proportional to 332,200,216.13 and 711,784,201.50 is: 1,525,094,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,200,216.13 : 711,784,201.50 = 711,784,201.50 : x
  2. Step 2: Convert to fraction form
    332,200,216.13/711,784,201.50 = 711,784,201.50/x
  3. Step 3: Cross multiply
    332,200,216.13x = 711,784,201.50 × 711,784,201.50
  4. Step 4: Simplify right side
    332,200,216.13x = 506,636,749,504,992,576
  5. Step 5: Solve for x
    x = 506,636,749,504,992,576/332,200,216.13
  6. Step 6: Final answer
    x = 1,525,094,581.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.