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Finding the Third Proportional to 143,745,608.25 and 312,676,922.53

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Solution

The third proportional to 143,745,608.25 and 312,676,922.53 is: 680,138,051.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,745,608.25 : 312,676,922.53 = 312,676,922.53 : x
  2. Step 2: Convert to fraction form
    143,745,608.25/312,676,922.53 = 312,676,922.53/x
  3. Step 3: Cross multiply
    143,745,608.25x = 312,676,922.53 × 312,676,922.53
  4. Step 4: Simplify right side
    143,745,608.25x = 97,766,857,883,613,312
  5. Step 5: Solve for x
    x = 97,766,857,883,613,312/143,745,608.25
  6. Step 6: Final answer
    x = 680,138,051.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.