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Finding the Third Proportional to 46,535,540.34 and 102,302,407.69

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Solution

The third proportional to 46,535,540.34 and 102,302,407.69 is: 224,898,701.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,535,540.34 : 102,302,407.69 = 102,302,407.69 : x
  2. Step 2: Convert to fraction form
    46,535,540.34/102,302,407.69 = 102,302,407.69/x
  3. Step 3: Cross multiply
    46,535,540.34x = 102,302,407.69 × 102,302,407.69
  4. Step 4: Simplify right side
    46,535,540.34x = 10,465,782,618,659,460
  5. Step 5: Solve for x
    x = 10,465,782,618,659,460/46,535,540.34
  6. Step 6: Final answer
    x = 224,898,701.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.