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Finding the Third Proportional to 143,565,827,654 and 314,149,958,500

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Solution

The third proportional to 143,565,827,654 and 314,149,958,500 is: 687,421,220,204.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,565,827,654 : 314,149,958,500 = 314,149,958,500 : x
  2. Step 2: Convert to fraction form
    143,565,827,654/314,149,958,500 = 314,149,958,500/x
  3. Step 3: Cross multiply
    143,565,827,654x = 314,149,958,500 × 314,149,958,500
  4. Step 4: Simplify right side
    143,565,827,654x = 98,690,196,425,551,722,315,776
  5. Step 5: Solve for x
    x = 98,690,196,425,551,722,315,776/143,565,827,654
  6. Step 6: Final answer
    x = 687,421,220,204.29

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.