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Finding the Third Proportional to 46,281,822 and 96,394,362

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Solution

The third proportional to 46,281,822 and 96,394,362 is: 200,767,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,281,822 : 96,394,362 = 96,394,362 : x
  2. Step 2: Convert to fraction form
    46,281,822/96,394,362 = 96,394,362/x
  3. Step 3: Cross multiply
    46,281,822x = 96,394,362 × 96,394,362
  4. Step 4: Simplify right side
    46,281,822x = 9,291,873,025,387,044
  5. Step 5: Solve for x
    x = 9,291,873,025,387,044/46,281,822
  6. Step 6: Final answer
    x = 200,767,226.18

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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.