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Finding the Third Proportional to 64,485 and 99,643.50

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Solution

The third proportional to 64,485 and 99,643.50 is: 153,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,485 : 99,643.50 = 99,643.50 : x
  2. Step 2: Convert to fraction form
    64,485/99,643.50 = 99,643.50/x
  3. Step 3: Cross multiply
    64,485x = 99,643.50 × 99,643.50
  4. Step 4: Simplify right side
    64,485x = 9,928,827,092.25
  5. Step 5: Solve for x
    x = 9,928,827,092.25/64,485
  6. Step 6: Final answer
    x = 153,971.11

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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.