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Finding the Third Proportional to 102,604,300,688.25 and 220,650,195,801.38

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Solution

The third proportional to 102,604,300,688.25 and 220,650,195,801.38 is: 474,507,487,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604,300,688.25 : 220,650,195,801.38 = 220,650,195,801.38 : x
  2. Step 2: Convert to fraction form
    102,604,300,688.25/220,650,195,801.38 = 220,650,195,801.38/x
  3. Step 3: Cross multiply
    102,604,300,688.25x = 220,650,195,801.38 × 220,650,195,801.38
  4. Step 4: Simplify right side
    102,604,300,688.25x = 48,686,508,907,187,331,399,680
  5. Step 5: Solve for x
    x = 48,686,508,907,187,331,399,680/102,604,300,688.25
  6. Step 6: Final answer
    x = 474,507,487,313.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.