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Finding the Third Proportional to 47,138,411.53 and 101,481,005.25

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Solution

The third proportional to 47,138,411.53 and 101,481,005.25 is: 218,471,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,138,411.53 : 101,481,005.25 = 101,481,005.25 : x
  2. Step 2: Convert to fraction form
    47,138,411.53/101,481,005.25 = 101,481,005.25/x
  3. Step 3: Cross multiply
    47,138,411.53x = 101,481,005.25 × 101,481,005.25
  4. Step 4: Simplify right side
    47,138,411.53x = 10,298,394,426,550,528
  5. Step 5: Solve for x
    x = 10,298,394,426,550,528/47,138,411.53
  6. Step 6: Final answer
    x = 218,471,392.90

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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.