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Finding the Third Proportional to 145,789,120 and 321,294,706

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Solution

The third proportional to 145,789,120 and 321,294,706 is: 708,079,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,789,120 : 321,294,706 = 321,294,706 : x
  2. Step 2: Convert to fraction form
    145,789,120/321,294,706 = 321,294,706/x
  3. Step 3: Cross multiply
    145,789,120x = 321,294,706 × 321,294,706
  4. Step 4: Simplify right side
    145,789,120x = 103,230,288,103,626,432
  5. Step 5: Solve for x
    x = 103,230,288,103,626,432/145,789,120
  6. Step 6: Final answer
    x = 708,079,506.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.