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Finding the Third Proportional to 108,276,051.38 and 233,811,942.19

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Solution

The third proportional to 108,276,051.38 and 233,811,942.19 is: 504,894,883.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,276,051.38 : 233,811,942.19 = 233,811,942.19 : x
  2. Step 2: Convert to fraction form
    108,276,051.38/233,811,942.19 = 233,811,942.19/x
  3. Step 3: Cross multiply
    108,276,051.38x = 233,811,942.19 × 233,811,942.19
  4. Step 4: Simplify right side
    108,276,051.38x = 54,668,024,309,490,840
  5. Step 5: Solve for x
    x = 54,668,024,309,490,840/108,276,051.38
  6. Step 6: Final answer
    x = 504,894,883.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.