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Finding the Third Proportional to 53,098,541.50 and 115,541,567

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Solution

The third proportional to 53,098,541.50 and 115,541,567 is: 251,416,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,098,541.50 : 115,541,567 = 115,541,567 : x
  2. Step 2: Convert to fraction form
    53,098,541.50/115,541,567 = 115,541,567/x
  3. Step 3: Cross multiply
    53,098,541.50x = 115,541,567 × 115,541,567
  4. Step 4: Simplify right side
    53,098,541.50x = 13,349,853,704,815,488
  5. Step 5: Solve for x
    x = 13,349,853,704,815,488/53,098,541.50
  6. Step 6: Final answer
    x = 251,416,579.96

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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.