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Finding the Third Proportional to 71,874,541.13 and 117,352,234.63

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Solution

The third proportional to 71,874,541.13 and 117,352,234.63 is: 191,605,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,874,541.13 : 117,352,234.63 = 117,352,234.63 : x
  2. Step 2: Convert to fraction form
    71,874,541.13/117,352,234.63 = 117,352,234.63/x
  3. Step 3: Cross multiply
    71,874,541.13x = 117,352,234.63 × 117,352,234.63
  4. Step 4: Simplify right side
    71,874,541.13x = 13,771,546,971,481,048
  5. Step 5: Solve for x
    x = 13,771,546,971,481,048/71,874,541.13
  6. Step 6: Final answer
    x = 191,605,355.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.