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Finding the Third Proportional to 51,330,442.50 and 106,906,945.50

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Solution

The third proportional to 51,330,442.50 and 106,906,945.50 is: 222,657,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,330,442.50 : 106,906,945.50 = 106,906,945.50 : x
  2. Step 2: Convert to fraction form
    51,330,442.50/106,906,945.50 = 106,906,945.50/x
  3. Step 3: Cross multiply
    51,330,442.50x = 106,906,945.50 × 106,906,945.50
  4. Step 4: Simplify right side
    51,330,442.50x = 11,429,094,996,139,970
  5. Step 5: Solve for x
    x = 11,429,094,996,139,970/51,330,442.50
  6. Step 6: Final answer
    x = 222,657,246.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.