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Finding the Third Proportional to 46,535,542 and 102,302,412

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Solution

The third proportional to 46,535,542 and 102,302,412 is: 224,898,712.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,535,542 : 102,302,412 = 102,302,412 : x
  2. Step 2: Convert to fraction form
    46,535,542/102,302,412 = 102,302,412/x
  3. Step 3: Cross multiply
    46,535,542x = 102,302,412 × 102,302,412
  4. Step 4: Simplify right side
    46,535,542x = 10,465,783,501,017,744
  5. Step 5: Solve for x
    x = 10,465,783,501,017,744/46,535,542
  6. Step 6: Final answer
    x = 224,898,712.92

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Why These Related Problems?

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