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Finding the Third Proportional to 97,460 and 209,959

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Solution

The third proportional to 97,460 and 209,959 is: 452,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,460 : 209,959 = 209,959 : x
  2. Step 2: Convert to fraction form
    97,460/209,959 = 209,959/x
  3. Step 3: Cross multiply
    97,460x = 209,959 × 209,959
  4. Step 4: Simplify right side
    97,460x = 44,082,781,681
  5. Step 5: Solve for x
    x = 44,082,781,681/97,460
  6. Step 6: Final answer
    x = 452,316.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.