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Finding the Third Proportional to 191,013.19 and 411,368.63

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Solution

The third proportional to 191,013.19 and 411,368.63 is: 885,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,013.19 : 411,368.63 = 411,368.63 : x
  2. Step 2: Convert to fraction form
    191,013.19/411,368.63 = 411,368.63/x
  3. Step 3: Cross multiply
    191,013.19x = 411,368.63 × 411,368.63
  4. Step 4: Simplify right side
    191,013.19x = 169,224,145,634.39
  5. Step 5: Solve for x
    x = 169,224,145,634.39/191,013.19
  6. Step 6: Final answer
    x = 885,929.12

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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.