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Finding the Third Proportional to 99,607 and 215,806.50

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Solution

The third proportional to 99,607 and 215,806.50 is: 467,561.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,607 : 215,806.50 = 215,806.50 : x
  2. Step 2: Convert to fraction form
    99,607/215,806.50 = 215,806.50/x
  3. Step 3: Cross multiply
    99,607x = 215,806.50 × 215,806.50
  4. Step 4: Simplify right side
    99,607x = 46,572,445,442.25
  5. Step 5: Solve for x
    x = 46,572,445,442.25/99,607
  6. Step 6: Final answer
    x = 467,561.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.