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Finding the Third Proportional to 206,153,646 and 441,817,572

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Solution

The third proportional to 206,153,646 and 441,817,572 is: 946,880,012.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,153,646 : 441,817,572 = 441,817,572 : x
  2. Step 2: Convert to fraction form
    206,153,646/441,817,572 = 441,817,572/x
  3. Step 3: Cross multiply
    206,153,646x = 441,817,572 × 441,817,572
  4. Step 4: Simplify right side
    206,153,646x = 195,202,766,927,975,168
  5. Step 5: Solve for x
    x = 195,202,766,927,975,168/206,153,646
  6. Step 6: Final answer
    x = 946,880,012.63

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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.