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Finding the Third Proportional to 45,312.75 and 97,184.25

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Solution

The third proportional to 45,312.75 and 97,184.25 is: 208,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312.75 : 97,184.25 = 97,184.25 : x
  2. Step 2: Convert to fraction form
    45,312.75/97,184.25 = 97,184.25/x
  3. Step 3: Cross multiply
    45,312.75x = 97,184.25 × 97,184.25
  4. Step 4: Simplify right side
    45,312.75x = 9,444,778,448.06
  5. Step 5: Solve for x
    x = 9,444,778,448.06/45,312.75
  6. Step 6: Final answer
    x = 208,435.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.