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Finding the Third Proportional to 96,303 and 233,031

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Solution

The third proportional to 96,303 and 233,031 is: 563,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,303 : 233,031 = 233,031 : x
  2. Step 2: Convert to fraction form
    96,303/233,031 = 233,031/x
  3. Step 3: Cross multiply
    96,303x = 233,031 × 233,031
  4. Step 4: Simplify right side
    96,303x = 54,303,446,961
  5. Step 5: Solve for x
    x = 54,303,446,961/96,303
  6. Step 6: Final answer
    x = 563,881.16

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.