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Finding the Third Proportional to 96,931.13 and 209,428.88

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Solution

The third proportional to 96,931.13 and 209,428.88 is: 452,490.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,931.13 : 209,428.88 = 209,428.88 : x
  2. Step 2: Convert to fraction form
    96,931.13/209,428.88 = 209,428.88/x
  3. Step 3: Cross multiply
    96,931.13x = 209,428.88 × 209,428.88
  4. Step 4: Simplify right side
    96,931.13x = 43,860,453,683.77
  5. Step 5: Solve for x
    x = 43,860,453,683.77/96,931.13
  6. Step 6: Final answer
    x = 452,490.92

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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.