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Finding the Third Proportional to 46,281,825 and 96,394,368

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Solution

The third proportional to 46,281,825 and 96,394,368 is: 200,767,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,825 : 96,394,368 = 96,394,368 : x
  2. Step 2: Convert to fraction form
    46,281,825/96,394,368 = 96,394,368/x
  3. Step 3: Cross multiply
    46,281,825x = 96,394,368 × 96,394,368
  4. Step 4: Simplify right side
    46,281,825x = 9,291,874,182,119,424
  5. Step 5: Solve for x
    x = 9,291,874,182,119,424/46,281,825
  6. Step 6: Final answer
    x = 200,767,238.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.