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Finding the Third Proportional to 234,525,483 and 515,301,642

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Solution

The third proportional to 234,525,483 and 515,301,642 is: 1,132,225,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,525,483 : 515,301,642 = 515,301,642 : x
  2. Step 2: Convert to fraction form
    234,525,483/515,301,642 = 515,301,642/x
  3. Step 3: Cross multiply
    234,525,483x = 515,301,642 × 515,301,642
  4. Step 4: Simplify right side
    234,525,483x = 265,535,782,247,896,160
  5. Step 5: Solve for x
    x = 265,535,782,247,896,160/234,525,483
  6. Step 6: Final answer
    x = 1,132,225,713.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.