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Finding the Third Proportional to 121,223,560.45 and 265,914,254.53

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Solution

The third proportional to 121,223,560.45 and 265,914,254.53 is: 583,305,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,223,560.45 : 265,914,254.53 = 265,914,254.53 : x
  2. Step 2: Convert to fraction form
    121,223,560.45/265,914,254.53 = 265,914,254.53/x
  3. Step 3: Cross multiply
    121,223,560.45x = 265,914,254.53 × 265,914,254.53
  4. Step 4: Simplify right side
    121,223,560.45x = 70,710,390,762,910,408
  5. Step 5: Solve for x
    x = 70,710,390,762,910,408/121,223,560.45
  6. Step 6: Final answer
    x = 583,305,675.09

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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.