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Finding the Third Proportional to 119,026,951 and 257,916,781

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Solution

The third proportional to 119,026,951 and 257,916,781 is: 558,873,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,026,951 : 257,916,781 = 257,916,781 : x
  2. Step 2: Convert to fraction form
    119,026,951/257,916,781 = 257,916,781/x
  3. Step 3: Cross multiply
    119,026,951x = 257,916,781 × 257,916,781
  4. Step 4: Simplify right side
    119,026,951x = 66,521,065,921,401,960
  5. Step 5: Solve for x
    x = 66,521,065,921,401,960/119,026,951
  6. Step 6: Final answer
    x = 558,873,980.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.