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Finding the Third Proportional to 121,827,791 and 265,980,250

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Solution

The third proportional to 121,827,791 and 265,980,250 is: 580,700,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,827,791 : 265,980,250 = 265,980,250 : x
  2. Step 2: Convert to fraction form
    121,827,791/265,980,250 = 265,980,250/x
  3. Step 3: Cross multiply
    121,827,791x = 265,980,250 × 265,980,250
  4. Step 4: Simplify right side
    121,827,791x = 70,745,493,390,062,496
  5. Step 5: Solve for x
    x = 70,745,493,390,062,496/121,827,791
  6. Step 6: Final answer
    x = 580,700,781.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.