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Finding the Third Proportional to 146,174,537.50 and 325,031,262

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Solution

The third proportional to 146,174,537.50 and 325,031,262 is: 722,734,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,174,537.50 : 325,031,262 = 325,031,262 : x
  2. Step 2: Convert to fraction form
    146,174,537.50/325,031,262 = 325,031,262/x
  3. Step 3: Cross multiply
    146,174,537.50x = 325,031,262 × 325,031,262
  4. Step 4: Simplify right side
    146,174,537.50x = 105,645,321,277,312,640
  5. Step 5: Solve for x
    x = 105,645,321,277,312,640/146,174,537.50
  6. Step 6: Final answer
    x = 722,734,089.56

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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.