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Finding the Third Proportional to 106,389,560 and 232,685,680

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Solution

The third proportional to 106,389,560 and 232,685,680 is: 508,909,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,389,560 : 232,685,680 = 232,685,680 : x
  2. Step 2: Convert to fraction form
    106,389,560/232,685,680 = 232,685,680/x
  3. Step 3: Cross multiply
    106,389,560x = 232,685,680 × 232,685,680
  4. Step 4: Simplify right side
    106,389,560x = 54,142,625,677,062,400
  5. Step 5: Solve for x
    x = 54,142,625,677,062,400/106,389,560
  6. Step 6: Final answer
    x = 508,909,198.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.