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Finding the Third Proportional to 71,185,509 and 153,101,898

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Solution

The third proportional to 71,185,509 and 153,101,898 is: 329,283,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,185,509 : 153,101,898 = 153,101,898 : x
  2. Step 2: Convert to fraction form
    71,185,509/153,101,898 = 153,101,898/x
  3. Step 3: Cross multiply
    71,185,509x = 153,101,898 × 153,101,898
  4. Step 4: Simplify right side
    71,185,509x = 23,440,191,171,202,404
  5. Step 5: Solve for x
    x = 23,440,191,171,202,404/71,185,509
  6. Step 6: Final answer
    x = 329,283,185.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.