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Finding the Third Proportional to 97,009 and 144,915.88

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Solution

The third proportional to 97,009 and 144,915.88 is: 216,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,009 : 144,915.88 = 144,915.88 : x
  2. Step 2: Convert to fraction form
    97,009/144,915.88 = 144,915.88/x
  3. Step 3: Cross multiply
    97,009x = 144,915.88 × 144,915.88
  4. Step 4: Simplify right side
    97,009x = 21,000,610,827.02
  5. Step 5: Solve for x
    x = 21,000,610,827.02/97,009
  6. Step 6: Final answer
    x = 216,481.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.