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Finding the Third Proportional to 45,346 and 99,460

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Solution

The third proportional to 45,346 and 99,460 is: 218,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,346 : 99,460 = 99,460 : x
  2. Step 2: Convert to fraction form
    45,346/99,460 = 99,460/x
  3. Step 3: Cross multiply
    45,346x = 99,460 × 99,460
  4. Step 4: Simplify right side
    45,346x = 9,892,291,600
  5. Step 5: Solve for x
    x = 9,892,291,600/45,346
  6. Step 6: Final answer
    x = 218,151.36

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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.