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Finding the Third Proportional to 143,893,773 and 316,478,913.75

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Solution

The third proportional to 143,893,773 and 316,478,913.75 is: 696,061,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,893,773 : 316,478,913.75 = 316,478,913.75 : x
  2. Step 2: Convert to fraction form
    143,893,773/316,478,913.75 = 316,478,913.75/x
  3. Step 3: Cross multiply
    143,893,773x = 316,478,913.75 × 316,478,913.75
  4. Step 4: Simplify right side
    143,893,773x = 100,158,902,848,379,936
  5. Step 5: Solve for x
    x = 100,158,902,848,379,936/143,893,773
  6. Step 6: Final answer
    x = 696,061,412.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.