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Finding the Third Proportional to 109,765,013.63 and 216,753,995.25

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Solution

The third proportional to 109,765,013.63 and 216,753,995.25 is: 428,026,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765,013.63 : 216,753,995.25 = 216,753,995.25 : x
  2. Step 2: Convert to fraction form
    109,765,013.63/216,753,995.25 = 216,753,995.25/x
  3. Step 3: Cross multiply
    109,765,013.63x = 216,753,995.25 × 216,753,995.25
  4. Step 4: Simplify right side
    109,765,013.63x = 46,982,294,456,837,024
  5. Step 5: Solve for x
    x = 46,982,294,456,837,024/109,765,013.63
  6. Step 6: Final answer
    x = 428,026,134.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.