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Finding the Third Proportional to 191,608.11 and 403,059.40

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Solution

The third proportional to 191,608.11 and 403,059.40 is: 847,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,608.11 : 403,059.40 = 403,059.40 : x
  2. Step 2: Convert to fraction form
    191,608.11/403,059.40 = 403,059.40/x
  3. Step 3: Cross multiply
    191,608.11x = 403,059.40 × 403,059.40
  4. Step 4: Simplify right side
    191,608.11x = 162,456,881,030.47
  5. Step 5: Solve for x
    x = 162,456,881,030.47/191,608.11
  6. Step 6: Final answer
    x = 847,860.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.