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Finding the Third Proportional to 301,744,891.13 and 461,387,215.69

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Solution

The third proportional to 301,744,891.13 and 461,387,215.69 is: 705,490,528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,744,891.13 : 461,387,215.69 = 461,387,215.69 : x
  2. Step 2: Convert to fraction form
    301,744,891.13/461,387,215.69 = 461,387,215.69/x
  3. Step 3: Cross multiply
    301,744,891.13x = 461,387,215.69 × 461,387,215.69
  4. Step 4: Simplify right side
    301,744,891.13x = 212,878,162,799,863,648
  5. Step 5: Solve for x
    x = 212,878,162,799,863,648/301,744,891.13
  6. Step 6: Final answer
    x = 705,490,528.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.