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Finding the Third Proportional to 146,174,117.25 and 325,030,463.25

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Solution

The third proportional to 146,174,117.25 and 325,030,463.25 is: 722,732,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,174,117.25 : 325,030,463.25 = 325,030,463.25 : x
  2. Step 2: Convert to fraction form
    146,174,117.25/325,030,463.25 = 325,030,463.25/x
  3. Step 3: Cross multiply
    146,174,117.25x = 325,030,463.25 × 325,030,463.25
  4. Step 4: Simplify right side
    146,174,117.25x = 105,644,802,040,509,600
  5. Step 5: Solve for x
    x = 105,644,802,040,509,600/146,174,117.25
  6. Step 6: Final answer
    x = 722,732,615.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.