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Finding the Third Proportional to 46,281,812 and 96,394,341

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Solution

The third proportional to 46,281,812 and 96,394,341 is: 200,767,182.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,812 : 96,394,341 = 96,394,341 : x
  2. Step 2: Convert to fraction form
    46,281,812/96,394,341 = 96,394,341/x
  3. Step 3: Cross multiply
    46,281,812x = 96,394,341 × 96,394,341
  4. Step 4: Simplify right side
    46,281,812x = 9,291,868,976,824,280
  5. Step 5: Solve for x
    x = 9,291,868,976,824,280/46,281,812
  6. Step 6: Final answer
    x = 200,767,182.08

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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.