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Finding the Third Proportional to 101,398.08 and 159,056.16

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Solution

The third proportional to 101,398.08 and 159,056.16 is: 249,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,398.08 : 159,056.16 = 159,056.16 : x
  2. Step 2: Convert to fraction form
    101,398.08/159,056.16 = 159,056.16/x
  3. Step 3: Cross multiply
    101,398.08x = 159,056.16 × 159,056.16
  4. Step 4: Simplify right side
    101,398.08x = 25,298,860,841.02
  5. Step 5: Solve for x
    x = 25,298,860,841.02/101,398.08
  6. Step 6: Final answer
    x = 249,500.40

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.