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Finding the Third Proportional to 97,430 and 146,158.50

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Solution

The third proportional to 97,430 and 146,158.50 is: 219,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,430 : 146,158.50 = 146,158.50 : x
  2. Step 2: Convert to fraction form
    97,430/146,158.50 = 146,158.50/x
  3. Step 3: Cross multiply
    97,430x = 146,158.50 × 146,158.50
  4. Step 4: Simplify right side
    97,430x = 21,362,307,122.25
  5. Step 5: Solve for x
    x = 21,362,307,122.25/97,430
  6. Step 6: Final answer
    x = 219,258.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.