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Finding the Third Proportional to 46,931 and 97,190

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Solution

The third proportional to 46,931 and 97,190 is: 201,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,931 : 97,190 = 97,190 : x
  2. Step 2: Convert to fraction form
    46,931/97,190 = 97,190/x
  3. Step 3: Cross multiply
    46,931x = 97,190 × 97,190
  4. Step 4: Simplify right side
    46,931x = 9,445,896,100
  5. Step 5: Solve for x
    x = 9,445,896,100/46,931
  6. Step 6: Final answer
    x = 201,272.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.