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Finding the Third Proportional to 121,638,665.25 and 251,900,489.25

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Solution

The third proportional to 121,638,665.25 and 251,900,489.25 is: 521,658,605.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,638,665.25 : 251,900,489.25 = 251,900,489.25 : x
  2. Step 2: Convert to fraction form
    121,638,665.25/251,900,489.25 = 251,900,489.25/x
  3. Step 3: Cross multiply
    121,638,665.25x = 251,900,489.25 × 251,900,489.25
  4. Step 4: Simplify right side
    121,638,665.25x = 63,453,856,484,389,368
  5. Step 5: Solve for x
    x = 63,453,856,484,389,368/121,638,665.25
  6. Step 6: Final answer
    x = 521,658,605.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.