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Finding the Third Proportional to 100,449 and 151,970.50

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Solution

The third proportional to 100,449 and 151,970.50 is: 229,918.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,449 : 151,970.50 = 151,970.50 : x
  2. Step 2: Convert to fraction form
    100,449/151,970.50 = 151,970.50/x
  3. Step 3: Cross multiply
    100,449x = 151,970.50 × 151,970.50
  4. Step 4: Simplify right side
    100,449x = 23,095,032,870.25
  5. Step 5: Solve for x
    x = 23,095,032,870.25/100,449
  6. Step 6: Final answer
    x = 229,918.00

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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.