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Finding the Third Proportional to 42,333,279.75 and 89,753,379.75

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Solution

The third proportional to 42,333,279.75 and 89,753,379.75 is: 190,291,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,333,279.75 : 89,753,379.75 = 89,753,379.75 : x
  2. Step 2: Convert to fraction form
    42,333,279.75/89,753,379.75 = 89,753,379.75/x
  3. Step 3: Cross multiply
    42,333,279.75x = 89,753,379.75 × 89,753,379.75
  4. Step 4: Simplify right side
    42,333,279.75x = 8,055,669,176,547,710
  5. Step 5: Solve for x
    x = 8,055,669,176,547,710/42,333,279.75
  6. Step 6: Final answer
    x = 190,291,638.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.