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Finding the Third Proportional to 97,499 and 210,989

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Solution

The third proportional to 97,499 and 210,989 is: 456,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,499 : 210,989 = 210,989 : x
  2. Step 2: Convert to fraction form
    97,499/210,989 = 210,989/x
  3. Step 3: Cross multiply
    97,499x = 210,989 × 210,989
  4. Step 4: Simplify right side
    97,499x = 44,516,358,121
  5. Step 5: Solve for x
    x = 44,516,358,121/97,499
  6. Step 6: Final answer
    x = 456,582.71

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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.