Home / 204,492,999.94-323,859,389.06

Finding the Third Proportional to 204,492,999.94 and 323,859,389.06

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Solution

The third proportional to 204,492,999.94 and 323,859,389.06 is: 512,902,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,492,999.94 : 323,859,389.06 = 323,859,389.06 : x
  2. Step 2: Convert to fraction form
    204,492,999.94/323,859,389.06 = 323,859,389.06/x
  3. Step 3: Cross multiply
    204,492,999.94x = 323,859,389.06 × 323,859,389.06
  4. Step 4: Simplify right side
    204,492,999.94x = 104,884,903,883,935,744
  5. Step 5: Solve for x
    x = 104,884,903,883,935,744/204,492,999.94
  6. Step 6: Final answer
    x = 512,902,172.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.