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Finding the Third Proportional to 100,998 and 156,820.50

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Solution

The third proportional to 100,998 and 156,820.50 is: 243,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,998 : 156,820.50 = 156,820.50 : x
  2. Step 2: Convert to fraction form
    100,998/156,820.50 = 156,820.50/x
  3. Step 3: Cross multiply
    100,998x = 156,820.50 × 156,820.50
  4. Step 4: Simplify right side
    100,998x = 24,592,669,220.25
  5. Step 5: Solve for x
    x = 24,592,669,220.25/100,998
  6. Step 6: Final answer
    x = 243,496.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.