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Finding the Third Proportional to 301,744,845 and 461,387,137.50

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Solution

The third proportional to 301,744,845 and 461,387,137.50 is: 705,490,397.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,744,845 : 461,387,137.50 = 461,387,137.50 : x
  2. Step 2: Convert to fraction form
    301,744,845/461,387,137.50 = 461,387,137.50/x
  3. Step 3: Cross multiply
    301,744,845x = 461,387,137.50 × 461,387,137.50
  4. Step 4: Simplify right side
    301,744,845x = 212,878,090,650,443,904
  5. Step 5: Solve for x
    x = 212,878,090,650,443,904/301,744,845
  6. Step 6: Final answer
    x = 705,490,397.53

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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.