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Finding the Third Proportional to 121,924,106 and 185,744,529

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Solution

The third proportional to 121,924,106 and 185,744,529 is: 282,971,359.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,924,106 : 185,744,529 = 185,744,529 : x
  2. Step 2: Convert to fraction form
    121,924,106/185,744,529 = 185,744,529/x
  3. Step 3: Cross multiply
    121,924,106x = 185,744,529 × 185,744,529
  4. Step 4: Simplify right side
    121,924,106x = 34,501,030,053,431,840
  5. Step 5: Solve for x
    x = 34,501,030,053,431,840/121,924,106
  6. Step 6: Final answer
    x = 282,971,359.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.