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Finding the Third Proportional to 101,859,664.69 and 220,641,214.31

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Solution

The third proportional to 101,859,664.69 and 220,641,214.31 is: 477,937,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,859,664.69 : 220,641,214.31 = 220,641,214.31 : x
  2. Step 2: Convert to fraction form
    101,859,664.69/220,641,214.31 = 220,641,214.31/x
  3. Step 3: Cross multiply
    101,859,664.69x = 220,641,214.31 × 220,641,214.31
  4. Step 4: Simplify right side
    101,859,664.69x = 48,682,545,453,294,552
  5. Step 5: Solve for x
    x = 48,682,545,453,294,552/101,859,664.69
  6. Step 6: Final answer
    x = 477,937,421.08

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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.