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Finding the Third Proportional to 105,240,080 and 221,996,920

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Solution

The third proportional to 105,240,080 and 221,996,920 is: 468,287,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,240,080 : 221,996,920 = 221,996,920 : x
  2. Step 2: Convert to fraction form
    105,240,080/221,996,920 = 221,996,920/x
  3. Step 3: Cross multiply
    105,240,080x = 221,996,920 × 221,996,920
  4. Step 4: Simplify right side
    105,240,080x = 49,282,632,489,486,400
  5. Step 5: Solve for x
    x = 49,282,632,489,486,400/105,240,080
  6. Step 6: Final answer
    x = 468,287,676.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.