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Finding the Third Proportional to 97,347.66 and 142,193.81

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Solution

The third proportional to 97,347.66 and 142,193.81 is: 207,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,347.66 : 142,193.81 = 142,193.81 : x
  2. Step 2: Convert to fraction form
    97,347.66/142,193.81 = 142,193.81/x
  3. Step 3: Cross multiply
    97,347.66x = 142,193.81 × 142,193.81
  4. Step 4: Simplify right side
    97,347.66x = 20,219,080,313.29
  5. Step 5: Solve for x
    x = 20,219,080,313.29/97,347.66
  6. Step 6: Final answer
    x = 207,699.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.