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Finding the Third Proportional to 101,354,344.69 and 221,286,980.81

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Solution

The third proportional to 101,354,344.69 and 221,286,980.81 is: 483,135,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,354,344.69 : 221,286,980.81 = 221,286,980.81 : x
  2. Step 2: Convert to fraction form
    101,354,344.69/221,286,980.81 = 221,286,980.81/x
  3. Step 3: Cross multiply
    101,354,344.69x = 221,286,980.81 × 221,286,980.81
  4. Step 4: Simplify right side
    101,354,344.69x = 48,967,927,877,111,744
  5. Step 5: Solve for x
    x = 48,967,927,877,111,744/101,354,344.69
  6. Step 6: Final answer
    x = 483,135,952.66

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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.