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Finding the Third Proportional to 191,984.63 and 412,948.13

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Solution

The third proportional to 191,984.63 and 412,948.13 is: 888,228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,984.63 : 412,948.13 = 412,948.13 : x
  2. Step 2: Convert to fraction form
    191,984.63/412,948.13 = 412,948.13/x
  3. Step 3: Cross multiply
    191,984.63x = 412,948.13 × 412,948.13
  4. Step 4: Simplify right side
    191,984.63x = 170,526,153,941.02
  5. Step 5: Solve for x
    x = 170,526,153,941.02/191,984.63
  6. Step 6: Final answer
    x = 888,228.18

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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.