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Finding the Third Proportional to 102,165,030 and 153,097,722

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Solution

The third proportional to 102,165,030 and 153,097,722 is: 229,422,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165,030 : 153,097,722 = 153,097,722 : x
  2. Step 2: Convert to fraction form
    102,165,030/153,097,722 = 153,097,722/x
  3. Step 3: Cross multiply
    102,165,030x = 153,097,722 × 153,097,722
  4. Step 4: Simplify right side
    102,165,030x = 23,438,912,481,589,284
  5. Step 5: Solve for x
    x = 23,438,912,481,589,284/102,165,030
  6. Step 6: Final answer
    x = 229,422,068.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.