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Finding the Third Proportional to 50,313,214.13 and 106,427,476.13

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Solution

The third proportional to 50,313,214.13 and 106,427,476.13 is: 225,125,901.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,313,214.13 : 106,427,476.13 = 106,427,476.13 : x
  2. Step 2: Convert to fraction form
    50,313,214.13/106,427,476.13 = 106,427,476.13/x
  3. Step 3: Cross multiply
    50,313,214.13x = 106,427,476.13 × 106,427,476.13
  4. Step 4: Simplify right side
    50,313,214.13x = 11,326,807,674,337,446
  5. Step 5: Solve for x
    x = 11,326,807,674,337,446/50,313,214.13
  6. Step 6: Final answer
    x = 225,125,901.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.