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Finding the Third Proportional to 97,445 and 210,433

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Solution

The third proportional to 97,445 and 210,433 is: 454,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,445 : 210,433 = 210,433 : x
  2. Step 2: Convert to fraction form
    97,445/210,433 = 210,433/x
  3. Step 3: Cross multiply
    97,445x = 210,433 × 210,433
  4. Step 4: Simplify right side
    97,445x = 44,282,047,489
  5. Step 5: Solve for x
    x = 44,282,047,489/97,445
  6. Step 6: Final answer
    x = 454,431.19

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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.