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Finding the Third Proportional to 53,098,540.50 and 115,541,565

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Solution

The third proportional to 53,098,540.50 and 115,541,565 is: 251,416,575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098,540.50 : 115,541,565 = 115,541,565 : x
  2. Step 2: Convert to fraction form
    53,098,540.50/115,541,565 = 115,541,565/x
  3. Step 3: Cross multiply
    53,098,540.50x = 115,541,565 × 115,541,565
  4. Step 4: Simplify right side
    53,098,540.50x = 13,349,853,242,649,224
  5. Step 5: Solve for x
    x = 13,349,853,242,649,224/53,098,540.50
  6. Step 6: Final answer
    x = 251,416,575.99

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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.