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Finding the Third Proportional to 101,444,499.04 and 221,566,234.36

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Solution

The third proportional to 101,444,499.04 and 221,566,234.36 is: 483,925,660.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,444,499.04 : 221,566,234.36 = 221,566,234.36 : x
  2. Step 2: Convert to fraction form
    101,444,499.04/221,566,234.36 = 221,566,234.36/x
  3. Step 3: Cross multiply
    101,444,499.04x = 221,566,234.36 × 221,566,234.36
  4. Step 4: Simplify right side
    101,444,499.04x = 49,091,596,208,195,704
  5. Step 5: Solve for x
    x = 49,091,596,208,195,704/101,444,499.04
  6. Step 6: Final answer
    x = 483,925,660.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.