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Finding the Third Proportional to 97,428 and 146,788.50

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Solution

The third proportional to 97,428 and 146,788.50 is: 221,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428 : 146,788.50 = 146,788.50 : x
  2. Step 2: Convert to fraction form
    97,428/146,788.50 = 146,788.50/x
  3. Step 3: Cross multiply
    97,428x = 146,788.50 × 146,788.50
  4. Step 4: Simplify right side
    97,428x = 21,546,863,732.25
  5. Step 5: Solve for x
    x = 21,546,863,732.25/97,428
  6. Step 6: Final answer
    x = 221,156.79

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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.