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Finding the Third Proportional to 100,626,426.56 and 212,854,943.81

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Solution

The third proportional to 100,626,426.56 and 212,854,943.81 is: 450,251,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,626,426.56 : 212,854,943.81 = 212,854,943.81 : x
  2. Step 2: Convert to fraction form
    100,626,426.56/212,854,943.81 = 212,854,943.81/x
  3. Step 3: Cross multiply
    100,626,426.56x = 212,854,943.81 × 212,854,943.81
  4. Step 4: Simplify right side
    100,626,426.56x = 45,307,227,105,422,536
  5. Step 5: Solve for x
    x = 45,307,227,105,422,536/100,626,426.56
  6. Step 6: Final answer
    x = 450,251,774.34

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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.