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Finding the Third Proportional to 98,335 and 147,598.50

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Solution

The third proportional to 98,335 and 147,598.50 is: 221,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,335 : 147,598.50 = 147,598.50 : x
  2. Step 2: Convert to fraction form
    98,335/147,598.50 = 147,598.50/x
  3. Step 3: Cross multiply
    98,335x = 147,598.50 × 147,598.50
  4. Step 4: Simplify right side
    98,335x = 21,785,317,202.25
  5. Step 5: Solve for x
    x = 21,785,317,202.25/98,335
  6. Step 6: Final answer
    x = 221,541.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.