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Finding the Third Proportional to 88,710 and 191,490

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Solution

The third proportional to 88,710 and 191,490 is: 413,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,710 : 191,490 = 191,490 : x
  2. Step 2: Convert to fraction form
    88,710/191,490 = 191,490/x
  3. Step 3: Cross multiply
    88,710x = 191,490 × 191,490
  4. Step 4: Simplify right side
    88,710x = 36,668,420,100
  5. Step 5: Solve for x
    x = 36,668,420,100/88,710
  6. Step 6: Final answer
    x = 413,351.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.