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Finding the Third Proportional to 101,050,665.33 and 219,252,809.81

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Solution

The third proportional to 101,050,665.33 and 219,252,809.81 is: 475,719,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,050,665.33 : 219,252,809.81 = 219,252,809.81 : x
  2. Step 2: Convert to fraction form
    101,050,665.33/219,252,809.81 = 219,252,809.81/x
  3. Step 3: Cross multiply
    101,050,665.33x = 219,252,809.81 × 219,252,809.81
  4. Step 4: Simplify right side
    101,050,665.33x = 48,071,794,610,676,296
  5. Step 5: Solve for x
    x = 48,071,794,610,676,296/101,050,665.33
  6. Step 6: Final answer
    x = 475,719,723.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.