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Finding the Third Proportional to 98,346 and 148,018.50

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Solution

The third proportional to 98,346 and 148,018.50 is: 222,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,346 : 148,018.50 = 148,018.50 : x
  2. Step 2: Convert to fraction form
    98,346/148,018.50 = 148,018.50/x
  3. Step 3: Cross multiply
    98,346x = 148,018.50 × 148,018.50
  4. Step 4: Simplify right side
    98,346x = 21,909,476,342.25
  5. Step 5: Solve for x
    x = 21,909,476,342.25/98,346
  6. Step 6: Final answer
    x = 222,779.54

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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.