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Finding the Third Proportional to 301,109,062.50 and 460,318,061.53

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Solution

The third proportional to 301,109,062.50 and 460,318,061.53 is: 703,707,540.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,109,062.50 : 460,318,061.53 = 460,318,061.53 : x
  2. Step 2: Convert to fraction form
    301,109,062.50/460,318,061.53 = 460,318,061.53/x
  3. Step 3: Cross multiply
    301,109,062.50x = 460,318,061.53 × 460,318,061.53
  4. Step 4: Simplify right side
    301,109,062.50x = 211,892,717,771,887,648
  5. Step 5: Solve for x
    x = 211,892,717,771,887,648/301,109,062.50
  6. Step 6: Final answer
    x = 703,707,540.43

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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.