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Finding the Third Proportional to 97,377 and 147,118.50

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Solution

The third proportional to 97,377 and 147,118.50 is: 222,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,377 : 147,118.50 = 147,118.50 : x
  2. Step 2: Convert to fraction form
    97,377/147,118.50 = 147,118.50/x
  3. Step 3: Cross multiply
    97,377x = 147,118.50 × 147,118.50
  4. Step 4: Simplify right side
    97,377x = 21,643,853,042.25
  5. Step 5: Solve for x
    x = 21,643,853,042.25/97,377
  6. Step 6: Final answer
    x = 222,268.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.