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Finding the Third Proportional to 64,095.47 and 140,258.25

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Solution

The third proportional to 64,095.47 and 140,258.25 is: 306,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,095.47 : 140,258.25 = 140,258.25 : x
  2. Step 2: Convert to fraction form
    64,095.47/140,258.25 = 140,258.25/x
  3. Step 3: Cross multiply
    64,095.47x = 140,258.25 × 140,258.25
  4. Step 4: Simplify right side
    64,095.47x = 19,672,376,693.06
  5. Step 5: Solve for x
    x = 19,672,376,693.06/64,095.47
  6. Step 6: Final answer
    x = 306,923.05

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.