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Finding the Third Proportional to 99,522 and 146,326.50

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Solution

The third proportional to 99,522 and 146,326.50 is: 215,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,522 : 146,326.50 = 146,326.50 : x
  2. Step 2: Convert to fraction form
    99,522/146,326.50 = 146,326.50/x
  3. Step 3: Cross multiply
    99,522x = 146,326.50 × 146,326.50
  4. Step 4: Simplify right side
    99,522x = 21,411,444,602.25
  5. Step 5: Solve for x
    x = 21,411,444,602.25/99,522
  6. Step 6: Final answer
    x = 215,142.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.