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Finding the Third Proportional to 106,389,556 and 232,685,672

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Solution

The third proportional to 106,389,556 and 232,685,672 is: 508,909,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,389,556 : 232,685,672 = 232,685,672 : x
  2. Step 2: Convert to fraction form
    106,389,556/232,685,672 = 232,685,672/x
  3. Step 3: Cross multiply
    106,389,556x = 232,685,672 × 232,685,672
  4. Step 4: Simplify right side
    106,389,556x = 54,142,621,954,091,584
  5. Step 5: Solve for x
    x = 54,142,621,954,091,584/106,389,556
  6. Step 6: Final answer
    x = 508,909,182.35

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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.