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Finding the Third Proportional to 143,770,923 and 314,908,962

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Solution

The third proportional to 143,770,923 and 314,908,962 is: 689,761,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,770,923 : 314,908,962 = 314,908,962 : x
  2. Step 2: Convert to fraction form
    143,770,923/314,908,962 = 314,908,962/x
  3. Step 3: Cross multiply
    143,770,923x = 314,908,962 × 314,908,962
  4. Step 4: Simplify right side
    143,770,923x = 99,167,654,347,917,440
  5. Step 5: Solve for x
    x = 99,167,654,347,917,440/143,770,923
  6. Step 6: Final answer
    x = 689,761,547.60

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Why These Related Problems?

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