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Finding the Third Proportional to 98,490 and 148,909.50

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Solution

The third proportional to 98,490 and 148,909.50 is: 225,140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,490 : 148,909.50 = 148,909.50 : x
  2. Step 2: Convert to fraction form
    98,490/148,909.50 = 148,909.50/x
  3. Step 3: Cross multiply
    98,490x = 148,909.50 × 148,909.50
  4. Step 4: Simplify right side
    98,490x = 22,174,039,190.25
  5. Step 5: Solve for x
    x = 22,174,039,190.25/98,490
  6. Step 6: Final answer
    x = 225,140.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.