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Finding the Third Proportional to 121,924,062 and 185,744,475

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Solution

The third proportional to 121,924,062 and 185,744,475 is: 282,971,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,924,062 : 185,744,475 = 185,744,475 : x
  2. Step 2: Convert to fraction form
    121,924,062/185,744,475 = 185,744,475/x
  3. Step 3: Cross multiply
    121,924,062x = 185,744,475 × 185,744,475
  4. Step 4: Simplify right side
    121,924,062x = 34,501,009,993,025,624
  5. Step 5: Solve for x
    x = 34,501,009,993,025,624/121,924,062
  6. Step 6: Final answer
    x = 282,971,297.27

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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.