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Finding the Third Proportional to 97,549.31 and 210,772.13

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Solution

The third proportional to 97,549.31 and 210,772.13 is: 455,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,549.31 : 210,772.13 = 210,772.13 : x
  2. Step 2: Convert to fraction form
    97,549.31/210,772.13 = 210,772.13/x
  3. Step 3: Cross multiply
    97,549.31x = 210,772.13 × 210,772.13
  4. Step 4: Simplify right side
    97,549.31x = 44,424,888,677.02
  5. Step 5: Solve for x
    x = 44,424,888,677.02/97,549.31
  6. Step 6: Final answer
    x = 455,409.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.