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Finding the Third Proportional to 121,345,146 and 265,392,060

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Solution

The third proportional to 121,345,146 and 265,392,060 is: 580,434,799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,345,146 : 265,392,060 = 265,392,060 : x
  2. Step 2: Convert to fraction form
    121,345,146/265,392,060 = 265,392,060/x
  3. Step 3: Cross multiply
    121,345,146x = 265,392,060 × 265,392,060
  4. Step 4: Simplify right side
    121,345,146x = 70,432,945,511,043,600
  5. Step 5: Solve for x
    x = 70,432,945,511,043,600/121,345,146
  6. Step 6: Final answer
    x = 580,434,799.68

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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.