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Finding the Third Proportional to 119,026,953 and 257,916,785

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Solution

The third proportional to 119,026,953 and 257,916,785 is: 558,873,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,026,953 : 257,916,785 = 257,916,785 : x
  2. Step 2: Convert to fraction form
    119,026,953/257,916,785 = 257,916,785/x
  3. Step 3: Cross multiply
    119,026,953x = 257,916,785 × 257,916,785
  4. Step 4: Simplify right side
    119,026,953x = 66,521,067,984,736,224
  5. Step 5: Solve for x
    x = 66,521,067,984,736,224/119,026,953
  6. Step 6: Final answer
    x = 558,873,988.69

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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.