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Finding the Third Proportional to 97,413 and 209,392.50

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Solution

The third proportional to 97,413 and 209,392.50 is: 450,096.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,413 : 209,392.50 = 209,392.50 : x
  2. Step 2: Convert to fraction form
    97,413/209,392.50 = 209,392.50/x
  3. Step 3: Cross multiply
    97,413x = 209,392.50 × 209,392.50
  4. Step 4: Simplify right side
    97,413x = 43,845,219,056.25
  5. Step 5: Solve for x
    x = 43,845,219,056.25/97,413
  6. Step 6: Final answer
    x = 450,096.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.