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Finding the Third Proportional to 121,924,100 and 185,744,520

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Solution

The third proportional to 121,924,100 and 185,744,520 is: 282,971,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,924,100 : 185,744,520 = 185,744,520 : x
  2. Step 2: Convert to fraction form
    121,924,100/185,744,520 = 185,744,520/x
  3. Step 3: Cross multiply
    121,924,100x = 185,744,520 × 185,744,520
  4. Step 4: Simplify right side
    121,924,100x = 34,501,026,710,030,400
  5. Step 5: Solve for x
    x = 34,501,026,710,030,400/121,924,100
  6. Step 6: Final answer
    x = 282,971,346.19

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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.