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Finding the Third Proportional to 301,109,062.63 and 460,318,061.75

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Solution

The third proportional to 301,109,062.63 and 460,318,061.75 is: 703,707,540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,109,062.63 : 460,318,061.75 = 460,318,061.75 : x
  2. Step 2: Convert to fraction form
    301,109,062.63/460,318,061.75 = 460,318,061.75/x
  3. Step 3: Cross multiply
    301,109,062.63x = 460,318,061.75 × 460,318,061.75
  4. Step 4: Simplify right side
    301,109,062.63x = 211,892,717,973,276,800
  5. Step 5: Solve for x
    x = 211,892,717,973,276,800/301,109,062.63
  6. Step 6: Final answer
    x = 703,707,540.80

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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.