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Finding the Third Proportional to 97,044.09 and 212,079.67

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Solution

The third proportional to 97,044.09 and 212,079.67 is: 463,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,044.09 : 212,079.67 = 212,079.67 : x
  2. Step 2: Convert to fraction form
    97,044.09/212,079.67 = 212,079.67/x
  3. Step 3: Cross multiply
    97,044.09x = 212,079.67 × 212,079.67
  4. Step 4: Simplify right side
    97,044.09x = 44,977,788,051.04
  5. Step 5: Solve for x
    x = 44,977,788,051.04/97,044.09
  6. Step 6: Final answer
    x = 463,477.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.