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Finding the Third Proportional to 143,690,940.35 and 314,584,999.80

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Solution

The third proportional to 143,690,940.35 and 314,584,999.80 is: 688,726,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,690,940.35 : 314,584,999.80 = 314,584,999.80 : x
  2. Step 2: Convert to fraction form
    143,690,940.35/314,584,999.80 = 314,584,999.80/x
  3. Step 3: Cross multiply
    143,690,940.35x = 314,584,999.80 × 314,584,999.80
  4. Step 4: Simplify right side
    143,690,940.35x = 98,963,722,102,110,512
  5. Step 5: Solve for x
    x = 98,963,722,102,110,512/143,690,940.35
  6. Step 6: Final answer
    x = 688,726,247.18

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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.