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Finding the Third Proportional to 109,303.13 and 160,828.88

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Solution

The third proportional to 109,303.13 and 160,828.88 is: 236,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,303.13 : 160,828.88 = 160,828.88 : x
  2. Step 2: Convert to fraction form
    109,303.13/160,828.88 = 160,828.88/x
  3. Step 3: Cross multiply
    109,303.13x = 160,828.88 × 160,828.88
  4. Step 4: Simplify right side
    109,303.13x = 25,865,927,033.77
  5. Step 5: Solve for x
    x = 25,865,927,033.77/109,303.13
  6. Step 6: Final answer
    x = 236,643.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.