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Finding the Third Proportional to 46,535,544 and 102,302,416

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Solution

The third proportional to 46,535,544 and 102,302,416 is: 224,898,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,535,544 : 102,302,416 = 102,302,416 : x
  2. Step 2: Convert to fraction form
    46,535,544/102,302,416 = 102,302,416/x
  3. Step 3: Cross multiply
    46,535,544x = 102,302,416 × 102,302,416
  4. Step 4: Simplify right side
    46,535,544x = 10,465,784,319,437,056
  5. Step 5: Solve for x
    x = 10,465,784,319,437,056/46,535,544
  6. Step 6: Final answer
    x = 224,898,720.85

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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.