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Finding the Third Proportional to 234,928,560 and 515,033,748

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Solution

The third proportional to 234,928,560 and 515,033,748 is: 1,129,108,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,928,560 : 515,033,748 = 515,033,748 : x
  2. Step 2: Convert to fraction form
    234,928,560/515,033,748 = 515,033,748/x
  3. Step 3: Cross multiply
    234,928,560x = 515,033,748 × 515,033,748
  4. Step 4: Simplify right side
    234,928,560x = 265,259,761,578,927,488
  5. Step 5: Solve for x
    x = 265,259,761,578,927,488/234,928,560
  6. Step 6: Final answer
    x = 1,129,108,191.78

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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.