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Finding the Third Proportional to 73,460,307 and 160,147,608

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Solution

The third proportional to 73,460,307 and 160,147,608 is: 349,130,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,460,307 : 160,147,608 = 160,147,608 : x
  2. Step 2: Convert to fraction form
    73,460,307/160,147,608 = 160,147,608/x
  3. Step 3: Cross multiply
    73,460,307x = 160,147,608 × 160,147,608
  4. Step 4: Simplify right side
    73,460,307x = 25,647,256,348,121,664
  5. Step 5: Solve for x
    x = 25,647,256,348,121,664/73,460,307
  6. Step 6: Final answer
    x = 349,130,808.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.