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Finding the Third Proportional to 101,960,294.06 and 155,866,305.38

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Solution

The third proportional to 101,960,294.06 and 155,866,305.38 is: 238,272,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,960,294.06 : 155,866,305.38 = 155,866,305.38 : x
  2. Step 2: Convert to fraction form
    101,960,294.06/155,866,305.38 = 155,866,305.38/x
  3. Step 3: Cross multiply
    101,960,294.06x = 155,866,305.38 × 155,866,305.38
  4. Step 4: Simplify right side
    101,960,294.06x = 24,294,305,151,252,752
  5. Step 5: Solve for x
    x = 24,294,305,151,252,752/101,960,294.06
  6. Step 6: Final answer
    x = 238,272,215.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.